id	sid	tid	token	lemma	pos
ejpam-4513	1	1	european	european	PROPN
ejpam-4513	1	2	journal	journal	PROPN
ejpam-4513	1	3	of	of	ADP
ejpam-4513	1	4	pure	pure	ADJ
ejpam-4513	1	5	and	and	CCONJ
ejpam-4513	1	6	applied	apply	VERB
ejpam-4513	1	7	mathematics	mathematic	NOUN
ejpam-4513	1	8	vol	vol	NOUN
ejpam-4513	1	9	.	.	PUNCT
ejpam-4513	2	1	16	16	NUM
ejpam-4513	2	2	,	,	PUNCT
ejpam-4513	2	3	no	no	INTJ
ejpam-4513	2	4	.	.	NOUN
ejpam-4513	2	5	2	2	NUM
ejpam-4513	2	6	,	,	PUNCT
ejpam-4513	2	7	2023	2023	NUM
ejpam-4513	2	8	,	,	PUNCT
ejpam-4513	2	9	1094	1094	NUM
ejpam-4513	2	10	-	-	SYM
ejpam-4513	2	11	1109	1109	NUM
ejpam-4513	2	12	issn	issn	PROPN
ejpam-4513	2	13	1307	1307	NUM
ejpam-4513	2	14	-	-	SYM
ejpam-4513	2	15	5543	5543	NUM
ejpam-4513	2	16	–	–	PUNCT
ejpam-4513	2	17	ejpam.com	ejpam.com	X
ejpam-4513	2	18	published	publish	VERB
ejpam-4513	2	19	by	by	ADP
ejpam-4513	2	20	new	new	PROPN
ejpam-4513	2	21	york	york	PROPN
ejpam-4513	2	22	business	business	PROPN
ejpam-4513	2	23	global	global	ADJ
ejpam-4513	2	24	semi	semi	ADJ
ejpam-4513	2	25	-	-	ADJ
ejpam-4513	2	26	total	total	ADJ
ejpam-4513	2	27	point	point	NOUN
ejpam-4513	2	28	graph	graph	NOUN
ejpam-4513	2	29	of	of	ADP
ejpam-4513	2	30	neighbourhood	neighbourhood	NOUN
ejpam-4513	2	31	edge	edge	NOUN
ejpam-4513	2	32	corona	corona	NOUN
ejpam-4513	2	33	graph	graph	NOUN
ejpam-4513	2	34	of	of	ADP
ejpam-4513	2	35	g	g	PROPN
ejpam-4513	2	36	and	and	CCONJ
ejpam-4513	2	37	h	h	NOUN
ejpam-4513	2	38	ika	ika	PROPN
ejpam-4513	2	39	hesti	hesti	PROPN
ejpam-4513	2	40	agustin3,4	agustin3,4	PROPN
ejpam-4513	2	41	,	,	PUNCT
ejpam-4513	2	42	a.	a.	PROPN
ejpam-4513	2	43	s.	s.	PROPN
ejpam-4513	2	44	maragadam2	maragadam2	PROPN
ejpam-4513	2	45	,	,	PUNCT
ejpam-4513	2	46	dafik1,4,∗	dafik1,4,∗	PROPN
ejpam-4513	2	47	,	,	PUNCT
ejpam-4513	2	48	v.	v.	ADP
ejpam-4513	2	49	lokesha2	lokesha2	NOUN
ejpam-4513	2	50	,	,	PUNCT
ejpam-4513	2	51	m.	m.	NOUN
ejpam-4513	2	52	manjunath2	manjunath2	PROPN
ejpam-4513	2	53	1	1	NUM
ejpam-4513	2	54	department	department	NOUN
ejpam-4513	2	55	of	of	ADP
ejpam-4513	2	56	mathematics	mathematics	PROPN
ejpam-4513	2	57	education	education	NOUN
ejpam-4513	2	58	,	,	PUNCT
ejpam-4513	2	59	university	university	NOUN
ejpam-4513	2	60	of	of	ADP
ejpam-4513	2	61	jember	jember	PROPN
ejpam-4513	2	62	,	,	PUNCT
ejpam-4513	2	63	indonesia	indonesia	PROPN
ejpam-4513	2	64	2	2	NUM
ejpam-4513	2	65	department	department	NOUN
ejpam-4513	2	66	of	of	ADP
ejpam-4513	2	67	mathematics	mathematic	NOUN
ejpam-4513	2	68	,	,	PUNCT
ejpam-4513	2	69	v.	v.	ADP
ejpam-4513	2	70	s.	s.	PROPN
ejpam-4513	2	71	k.	k.	PROPN
ejpam-4513	2	72	university	university	PROPN
ejpam-4513	2	73	,	,	PUNCT
ejpam-4513	2	74	vinayaka	vinayaka	PROPN
ejpam-4513	2	75	nagara	nagara	PROPN
ejpam-4513	2	76	,	,	PUNCT
ejpam-4513	2	77	ballari	ballari	NOUN
ejpam-4513	2	78	,	,	PUNCT
ejpam-4513	2	79	india	india	PROPN
ejpam-4513	2	80	3	3	NUM
ejpam-4513	2	81	department	department	NOUN
ejpam-4513	2	82	of	of	ADP
ejpam-4513	2	83	mathematics	mathematics	PROPN
ejpam-4513	2	84	,	,	PUNCT
ejpam-4513	2	85	university	university	PROPN
ejpam-4513	2	86	of	of	ADP
ejpam-4513	2	87	jember	jember	PROPN
ejpam-4513	2	88	,	,	PUNCT
ejpam-4513	2	89	indonesia	indonesia	PROPN
ejpam-4513	2	90	4	4	NUM
ejpam-4513	2	91	pui	pui	PROPN
ejpam-4513	2	92	-	-	PUNCT
ejpam-4513	2	93	pt	pt	NOUN
ejpam-4513	2	94	combinatorics	combinatoric	NOUN
ejpam-4513	2	95	and	and	CCONJ
ejpam-4513	2	96	graph	graph	NOUN
ejpam-4513	2	97	,	,	PUNCT
ejpam-4513	2	98	cgant	cgant	ADJ
ejpam-4513	2	99	,	,	PUNCT
ejpam-4513	2	100	university	university	NOUN
ejpam-4513	2	101	of	of	ADP
ejpam-4513	2	102	jember	jember	PROPN
ejpam-4513	2	103	,	,	PUNCT
ejpam-4513	2	104	indonesia	indonesia	PROPN
ejpam-4513	2	105	abstract	abstract	NOUN
ejpam-4513	2	106	.	.	PUNCT
ejpam-4513	3	1	a	a	DET
ejpam-4513	3	2	topological	topological	ADJ
ejpam-4513	3	3	index	index	NOUN
ejpam-4513	3	4	is	be	AUX
ejpam-4513	3	5	a	a	DET
ejpam-4513	3	6	function	function	NOUN
ejpam-4513	3	7	having	have	VERB
ejpam-4513	3	8	a	a	DET
ejpam-4513	3	9	set	set	NOUN
ejpam-4513	3	10	of	of	ADP
ejpam-4513	3	11	graphs	graph	NOUN
ejpam-4513	3	12	as	as	ADP
ejpam-4513	3	13	its	its	PRON
ejpam-4513	3	14	domain	domain	NOUN
ejpam-4513	3	15	and	and	CCONJ
ejpam-4513	3	16	a	a	DET
ejpam-4513	3	17	set	set	NOUN
ejpam-4513	3	18	of	of	ADP
ejpam-4513	3	19	real	real	ADJ
ejpam-4513	3	20	numbers	number	NOUN
ejpam-4513	3	21	as	as	ADP
ejpam-4513	3	22	its	its	PRON
ejpam-4513	3	23	range	range	NOUN
ejpam-4513	3	24	.	.	PUNCT
ejpam-4513	4	1	here	here	ADV
ejpam-4513	4	2	we	we	PRON
ejpam-4513	4	3	concentrated	concentrate	VERB
ejpam-4513	4	4	on	on	ADP
ejpam-4513	4	5	topological	topological	ADJ
ejpam-4513	4	6	indices	index	NOUN
ejpam-4513	4	7	involving	involve	VERB
ejpam-4513	4	8	the	the	DET
ejpam-4513	4	9	number	number	NOUN
ejpam-4513	4	10	of	of	ADP
ejpam-4513	4	11	vertices	vertex	NOUN
ejpam-4513	4	12	,	,	PUNCT
ejpam-4513	4	13	the	the	DET
ejpam-4513	4	14	number	number	NOUN
ejpam-4513	4	15	of	of	ADP
ejpam-4513	4	16	edges	edge	NOUN
ejpam-4513	4	17	and	and	CCONJ
ejpam-4513	4	18	the	the	DET
ejpam-4513	4	19	maximum	maximum	ADJ
ejpam-4513	4	20	and	and	CCONJ
ejpam-4513	4	21	minimum	minimum	ADJ
ejpam-4513	4	22	vertex	vertex	NOUN
ejpam-4513	4	23	degree	degree	NOUN
ejpam-4513	4	24	.	.	PUNCT
ejpam-4513	5	1	the	the	DET
ejpam-4513	5	2	aim	aim	NOUN
ejpam-4513	5	3	of	of	ADP
ejpam-4513	5	4	this	this	DET
ejpam-4513	5	5	paper	paper	NOUN
ejpam-4513	5	6	is	be	AUX
ejpam-4513	5	7	to	to	PART
ejpam-4513	5	8	compute	compute	VERB
ejpam-4513	5	9	the	the	DET
ejpam-4513	5	10	lower	low	ADJ
ejpam-4513	5	11	and	and	CCONJ
ejpam-4513	5	12	upper	upper	ADJ
ejpam-4513	5	13	bounds	bound	NOUN
ejpam-4513	5	14	of	of	ADP
ejpam-4513	5	15	the	the	DET
ejpam-4513	5	16	second	second	ADJ
ejpam-4513	5	17	zagreb	zagreb	PROPN
ejpam-4513	5	18	index	index	PROPN
ejpam-4513	5	19	,	,	PUNCT
ejpam-4513	5	20	third	third	PROPN
ejpam-4513	5	21	zagreb	zagreb	PROPN
ejpam-4513	5	22	index	index	PROPN
ejpam-4513	5	23	,	,	PUNCT
ejpam-4513	5	24	hyper	hyper	PROPN
ejpam-4513	5	25	zagreb	zagreb	PROPN
ejpam-4513	5	26	index	index	PROPN
ejpam-4513	5	27	,	,	PUNCT
ejpam-4513	5	28	harmonic	harmonic	ADJ
ejpam-4513	5	29	index	index	NOUN
ejpam-4513	5	30	,	,	PUNCT
ejpam-4513	5	31	redefined	redefine	VERB
ejpam-4513	5	32	first	first	PROPN
ejpam-4513	5	33	zagreb	zagreb	PROPN
ejpam-4513	5	34	index	index	PROPN
ejpam-4513	5	35	,	,	PUNCT
ejpam-4513	5	36	first	first	ADV
ejpam-4513	5	37	reformulated	reformulate	VERB
ejpam-4513	5	38	zagreb	zagreb	PROPN
ejpam-4513	5	39	index	index	PROPN
ejpam-4513	5	40	,	,	PUNCT
ejpam-4513	5	41	forgotten	forget	VERB
ejpam-4513	5	42	topological	topological	ADJ
ejpam-4513	5	43	index	index	NOUN
ejpam-4513	5	44	,	,	PUNCT
ejpam-4513	5	45	square	square	PROPN
ejpam-4513	5	46	f	f	PROPN
ejpam-4513	5	47	-index	-index	PROPN
ejpam-4513	5	48	,	,	PUNCT
ejpam-4513	5	49	sum	sum	NOUN
ejpam-4513	5	50	-	-	PUNCT
ejpam-4513	5	51	connectivity	connectivity	NOUN
ejpam-4513	5	52	index	index	NOUN
ejpam-4513	5	53	,	,	PUNCT
ejpam-4513	5	54	randic	randic	ADJ
ejpam-4513	5	55	index	index	NOUN
ejpam-4513	5	56	,	,	PUNCT
ejpam-4513	5	57	reciprocal	reciprocal	ADJ
ejpam-4513	5	58	randic	randic	ADJ
ejpam-4513	5	59	index	index	NOUN
ejpam-4513	5	60	,	,	PUNCT
ejpam-4513	5	61	gourava	gourava	NOUN
ejpam-4513	5	62	index	index	PROPN
ejpam-4513	5	63	,	,	PUNCT
ejpam-4513	5	64	sombar	sombar	PROPN
ejpam-4513	5	65	index	index	PROPN
ejpam-4513	5	66	,	,	PUNCT
ejpam-4513	5	67	nirmala	nirmala	PROPN
ejpam-4513	5	68	index	index	PROPN
ejpam-4513	5	69	,	,	PUNCT
ejpam-4513	5	70	geometric	geometric	ADJ
ejpam-4513	5	71	-	-	PUNCT
ejpam-4513	5	72	arithmetic	arithmetic	ADJ
ejpam-4513	5	73	index	index	NOUN
ejpam-4513	5	74	and	and	CCONJ
ejpam-4513	5	75	lower	low	ADJ
ejpam-4513	5	76	bonds	bond	NOUN
ejpam-4513	5	77	of	of	ADP
ejpam-4513	5	78	atom	atom	NOUN
ejpam-4513	5	79	bond	bond	NOUN
ejpam-4513	5	80	connectivity	connectivity	NOUN
ejpam-4513	5	81	index	index	NOUN
ejpam-4513	5	82	,	,	PUNCT
ejpam-4513	5	83	redefined	redefine	VERB
ejpam-4513	5	84	second	second	ADJ
ejpam-4513	5	85	zagreb	zagreb	PROPN
ejpam-4513	5	86	.	.	PROPN
ejpam-4513	5	87	2020	2020	NUM
ejpam-4513	6	1	mathematics	mathematic	NOUN
ejpam-4513	6	2	subject	subject	NOUN
ejpam-4513	6	3	classifications	classification	NOUN
ejpam-4513	6	4	:	:	PUNCT
ejpam-4513	6	5	ams	am	NOUN
ejpam-4513	6	6	05c05	05c05	NOUN
ejpam-4513	6	7	,	,	PUNCT
ejpam-4513	6	8	05c90	05c90	NUM
ejpam-4513	6	9	,	,	PUNCT
ejpam-4513	6	10	05c12	05c12	NOUN
ejpam-4513	6	11	.	.	PUNCT
ejpam-4513	7	1	key	key	ADJ
ejpam-4513	7	2	words	word	NOUN
ejpam-4513	7	3	and	and	CCONJ
ejpam-4513	7	4	phrases	phrase	NOUN
ejpam-4513	7	5	:	:	PUNCT
ejpam-4513	7	6	semi	semi	ADJ
ejpam-4513	7	7	-	-	ADJ
ejpam-4513	7	8	total	total	ADJ
ejpam-4513	7	9	point	point	NOUN
ejpam-4513	7	10	graph	graph	NOUN
ejpam-4513	7	11	,	,	PUNCT
ejpam-4513	7	12	corona	corona	NOUN
ejpam-4513	7	13	product	product	NOUN
ejpam-4513	7	14	of	of	ADP
ejpam-4513	7	15	graphs	graph	NOUN
ejpam-4513	7	16	,	,	PUNCT
ejpam-4513	7	17	neighborhood	neighborhood	NOUN
ejpam-4513	7	18	edge	edge	NOUN
ejpam-4513	7	19	corona	corona	NOUN
ejpam-4513	7	20	graph	graph	NOUN
ejpam-4513	7	21	,	,	PUNCT
ejpam-4513	7	22	lower	low	ADJ
ejpam-4513	7	23	and	and	CCONJ
ejpam-4513	7	24	upper	upper	ADJ
ejpam-4513	7	25	bounds	bound	NOUN
ejpam-4513	7	26	of	of	ADP
ejpam-4513	7	27	topological	topological	ADJ
ejpam-4513	7	28	indices	index	NOUN
ejpam-4513	7	29	.	.	PUNCT
ejpam-4513	8	1	1	1	X
ejpam-4513	8	2	.	.	X
ejpam-4513	8	3	introduction	introduction	NOUN
ejpam-4513	8	4	a	a	DET
ejpam-4513	8	5	graph	graph	NOUN
ejpam-4513	8	6	invariant	invariant	ADJ
ejpam-4513	8	7	that	that	PRON
ejpam-4513	8	8	correlates	correlate	VERB
ejpam-4513	8	9	the	the	DET
ejpam-4513	8	10	physico	physico	NOUN
ejpam-4513	8	11	-	-	PUNCT
ejpam-4513	8	12	chemical	chemical	NOUN
ejpam-4513	8	13	properties	property	NOUN
ejpam-4513	8	14	of	of	ADP
ejpam-4513	8	15	a	a	DET
ejpam-4513	8	16	molecular	molecular	ADJ
ejpam-4513	8	17	graph	graph	NOUN
ejpam-4513	8	18	with	with	ADP
ejpam-4513	8	19	a	a	DET
ejpam-4513	8	20	number	number	NOUN
ejpam-4513	8	21	is	be	AUX
ejpam-4513	8	22	called	call	VERB
ejpam-4513	8	23	a	a	DET
ejpam-4513	8	24	topological	topological	ADJ
ejpam-4513	8	25	index	index	NOUN
ejpam-4513	8	26	.	.	PUNCT
ejpam-4513	9	1	the	the	DET
ejpam-4513	9	2	first	first	ADJ
ejpam-4513	9	3	topological	topological	ADJ
ejpam-4513	9	4	index	index	NOUN
ejpam-4513	9	5	was	be	AUX
ejpam-4513	9	6	introduced	introduce	VERB
ejpam-4513	9	7	by	by	ADP
ejpam-4513	9	8	wiener	wiener	NOUN
ejpam-4513	9	9	,	,	PUNCT
ejpam-4513	9	10	a	a	DET
ejpam-4513	9	11	chemist	chemist	NOUN
ejpam-4513	9	12	,	,	PUNCT
ejpam-4513	9	13	in	in	ADP
ejpam-4513	9	14	1947	1947	NUM
ejpam-4513	9	15	to	to	PART
ejpam-4513	9	16	calculate	calculate	VERB
ejpam-4513	9	17	the	the	DET
ejpam-4513	9	18	boiling	boiling	NOUN
ejpam-4513	9	19	points	point	NOUN
ejpam-4513	9	20	of	of	ADP
ejpam-4513	9	21	paraffins	paraffin	NOUN
ejpam-4513	9	22	[	[	X
ejpam-4513	9	23	22	22	NUM
ejpam-4513	9	24	]	]	PUNCT
ejpam-4513	9	25	.	.	PUNCT
ejpam-4513	10	1	applications	application	NOUN
ejpam-4513	10	2	of	of	ADP
ejpam-4513	10	3	molecular	molecular	ADJ
ejpam-4513	10	4	structure	structure	NOUN
ejpam-4513	10	5	descriptors	descriptor	NOUN
ejpam-4513	10	6	are	be	AUX
ejpam-4513	10	7	a	a	DET
ejpam-4513	10	8	standard	standard	ADJ
ejpam-4513	10	9	procedure	procedure	NOUN
ejpam-4513	10	10	in	in	ADP
ejpam-4513	10	11	the	the	DET
ejpam-4513	10	12	study	study	NOUN
ejpam-4513	10	13	of	of	ADP
ejpam-4513	10	14	structure	structure	NOUN
ejpam-4513	10	15	property	property	NOUN
ejpam-4513	10	16	relations	relation	NOUN
ejpam-4513	10	17	nowadays	nowadays	ADV
ejpam-4513	10	18	,	,	PUNCT
ejpam-4513	10	19	especially	especially	ADV
ejpam-4513	10	20	in	in	ADP
ejpam-4513	10	21	the	the	DET
ejpam-4513	10	22	field	field	NOUN
ejpam-4513	10	23	of	of	ADP
ejpam-4513	10	24	qspr	qspr	NOUN
ejpam-4513	10	25	/	/	SYM
ejpam-4513	10	26	qsar	qsar	NOUN
ejpam-4513	10	27	study	study	NOUN
ejpam-4513	10	28	[	[	X
ejpam-4513	10	29	13],[27],[24	13],[27],[24	NUM
ejpam-4513	10	30	]	]	PUNCT
ejpam-4513	10	31	,	,	PUNCT
ejpam-4513	10	32	and	and	CCONJ
ejpam-4513	10	33	[	[	X
ejpam-4513	10	34	16	16	NUM
ejpam-4513	10	35	]	]	PUNCT
ejpam-4513	10	36	.	.	PUNCT
ejpam-4513	11	1	during	during	ADP
ejpam-4513	11	2	the	the	DET
ejpam-4513	11	3	last	last	ADJ
ejpam-4513	11	4	century	century	NOUN
ejpam-4513	11	5	,	,	PUNCT
ejpam-4513	11	6	theoretical	theoretical	ADJ
ejpam-4513	11	7	chemists	chemist	NOUN
ejpam-4513	11	8	started	start	VERB
ejpam-4513	11	9	working	work	VERB
ejpam-4513	11	10	on	on	ADP
ejpam-4513	11	11	the	the	DET
ejpam-4513	11	12	use	use	NOUN
ejpam-4513	11	13	of	of	ADP
ejpam-4513	11	14	topological	topological	ADJ
ejpam-4513	11	15	indices	index	NOUN
ejpam-4513	11	16	to	to	PART
ejpam-4513	11	17	obtain	obtain	VERB
ejpam-4513	11	18	information	information	NOUN
ejpam-4513	11	19	of	of	ADP
ejpam-4513	11	20	various	various	ADJ
ejpam-4513	11	21	properties	property	NOUN
ejpam-4513	11	22	of	of	ADP
ejpam-4513	11	23	organic	organic	ADJ
ejpam-4513	11	24	substances	substance	NOUN
ejpam-4513	11	25	which	which	PRON
ejpam-4513	11	26	depend	depend	VERB
ejpam-4513	11	27	upon	upon	SCONJ
ejpam-4513	11	28	their	their	PRON
ejpam-4513	11	29	molecular	molecular	ADJ
ejpam-4513	11	30	structure	structure	NOUN
ejpam-4513	11	31	.	.	PUNCT
ejpam-4513	12	1	for	for	ADP
ejpam-4513	12	2	this	this	DET
ejpam-4513	12	3	purpose	purpose	NOUN
ejpam-4513	12	4	,	,	PUNCT
ejpam-4513	12	5	numerous	numerous	ADJ
ejpam-4513	12	6	topological	topological	ADJ
ejpam-4513	12	7	indices	index	NOUN
ejpam-4513	12	8	were	be	AUX
ejpam-4513	12	9	found	find	VERB
ejpam-4513	12	10	and	and	CCONJ
ejpam-4513	12	11	studied	study	VERB
ejpam-4513	12	12	in	in	ADP
ejpam-4513	12	13	the	the	DET
ejpam-4513	12	14	chemical	chemical	NOUN
ejpam-4513	12	15	literature	literature	NOUN
ejpam-4513	12	16	.	.	PUNCT
ejpam-4513	13	1	throughout	throughout	ADP
ejpam-4513	13	2	the	the	DET
ejpam-4513	13	3	paper	paper	NOUN
ejpam-4513	13	4	,	,	PUNCT
ejpam-4513	13	5	we	we	PRON
ejpam-4513	13	6	only	only	ADV
ejpam-4513	13	7	consider	consider	VERB
ejpam-4513	13	8	∗corresponding	∗corresponde	VERB
ejpam-4513	13	9	author	author	NOUN
ejpam-4513	13	10	.	.	PUNCT
ejpam-4513	14	1	doi	doi	NOUN
ejpam-4513	14	2	:	:	PUNCT
ejpam-4513	14	3	https://doi.org/10.29020/nybg.ejpam.v16i2.4513	https://doi.org/10.29020/nybg.ejpam.v16i2.4513	PROPN
ejpam-4513	14	4	email	email	NOUN
ejpam-4513	14	5	addresses	address	NOUN
ejpam-4513	14	6	:	:	PUNCT
ejpam-4513	15	1	maragadamvijay@gmail.com	maragadamvijay@gmail.com	X
ejpam-4513	15	2	(	(	PUNCT
ejpam-4513	15	3	a.	a.	PROPN
ejpam-4513	15	4	s.	s.	PROPN
ejpam-4513	15	5	maragadam	maragadam	PROPN
ejpam-4513	15	6	)	)	PUNCT
ejpam-4513	15	7	,	,	PUNCT
ejpam-4513	15	8	d.dafik@unej.ac.id	d.dafik@unej.ac.id	NOUN
ejpam-4513	15	9	(	(	PUNCT
ejpam-4513	15	10	dafik	dafik	NOUN
ejpam-4513	15	11	)	)	PUNCT
ejpam-4513	15	12	,	,	PUNCT
ejpam-4513	15	13	v.lokesha@gmail.com	v.lokesha@gmail.com	X
ejpam-4513	15	14	(	(	PUNCT
ejpam-4513	15	15	v.	v.	ADP
ejpam-4513	15	16	lokesha	lokesha	PROPN
ejpam-4513	15	17	)	)	PUNCT
ejpam-4513	15	18	,	,	PUNCT
ejpam-4513	15	19	manju347@gmail.com	manju347@gmail.com	X
ejpam-4513	15	20	.	.	PUNCT
ejpam-4513	16	1	(	(	PUNCT
ejpam-4513	16	2	m.	m.	PROPN
ejpam-4513	16	3	manjunath	manjunath	PROPN
ejpam-4513	16	4	)	)	PUNCT
ejpam-4513	16	5	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-4513	16	6	1094	1094	NUM
ejpam-4513	17	1	©	©	PROPN
ejpam-4513	17	2	2023	2023	NUM
ejpam-4513	17	3	ejpam	ejpam	NOUN
ejpam-4513	17	4	all	all	DET
ejpam-4513	17	5	rights	right	NOUN
ejpam-4513	17	6	reserved	reserve	VERB
ejpam-4513	17	7	.	.	PUNCT
ejpam-4513	18	1	dafik	dafik	VERB
ejpam-4513	18	2	et	et	PROPN
ejpam-4513	18	3	al	al	PROPN
ejpam-4513	18	4	.	.	PUNCT
ejpam-4513	18	5	/	/	SYM
ejpam-4513	18	6	eur	eur	PROPN
ejpam-4513	18	7	.	.	PUNCT
ejpam-4513	19	1	j.	j.	PROPN
ejpam-4513	19	2	pure	pure	PROPN
ejpam-4513	19	3	appl	appl	PROPN
ejpam-4513	19	4	.	.	PROPN
ejpam-4513	19	5	math	math	PROPN
ejpam-4513	19	6	,	,	PUNCT
ejpam-4513	19	7	16	16	NUM
ejpam-4513	19	8	(	(	PUNCT
ejpam-4513	19	9	2	2	NUM
ejpam-4513	19	10	)	)	PUNCT
ejpam-4513	19	11	(	(	PUNCT
ejpam-4513	19	12	2023	2023	NUM
ejpam-4513	19	13	)	)	PUNCT
ejpam-4513	19	14	,	,	PUNCT
ejpam-4513	19	15	1094	1094	NUM
ejpam-4513	19	16	-	-	SYM
ejpam-4513	19	17	1109	1109	NUM
ejpam-4513	19	18	1095	1095	NUM
ejpam-4513	19	19	simple	simple	ADJ
ejpam-4513	19	20	graphs	graph	NOUN
ejpam-4513	19	21	without	without	ADP
ejpam-4513	19	22	isolated	isolated	ADJ
ejpam-4513	19	23	vertex	vertex	NOUN
ejpam-4513	19	24	.	.	PUNCT
ejpam-4513	20	1	the	the	DET
ejpam-4513	20	2	study	study	NOUN
ejpam-4513	20	3	on	on	ADP
ejpam-4513	20	4	topological	topological	ADJ
ejpam-4513	20	5	indices	index	NOUN
ejpam-4513	20	6	and	and	CCONJ
ejpam-4513	20	7	its	its	PRON
ejpam-4513	20	8	properties	property	NOUN
ejpam-4513	20	9	are	be	AUX
ejpam-4513	20	10	growing	grow	VERB
ejpam-4513	20	11	vastly	vastly	ADV
ejpam-4513	20	12	,	,	PUNCT
ejpam-4513	20	13	thus	thus	ADV
ejpam-4513	20	14	many	many	ADJ
ejpam-4513	20	15	results	result	NOUN
ejpam-4513	20	16	can	can	AUX
ejpam-4513	20	17	be	be	AUX
ejpam-4513	20	18	found	find	VERB
ejpam-4513	20	19	,	,	PUNCT
ejpam-4513	20	20	for	for	ADP
ejpam-4513	20	21	instance	instance	NOUN
ejpam-4513	20	22	in	in	ADP
ejpam-4513	20	23	[	[	X
ejpam-4513	20	24	10],[21],[26	10],[21],[26	NUM
ejpam-4513	20	25	]	]	PUNCT
ejpam-4513	20	26	,	,	PUNCT
ejpam-4513	20	27	and	and	CCONJ
ejpam-4513	20	28	[	[	X
ejpam-4513	20	29	20	20	NUM
ejpam-4513	20	30	]	]	PUNCT
ejpam-4513	20	31	.	.	PUNCT
ejpam-4513	21	1	now	now	ADV
ejpam-4513	21	2	we	we	PRON
ejpam-4513	21	3	recall	recall	VERB
ejpam-4513	21	4	some	some	DET
ejpam-4513	21	5	well	well	ADV
ejpam-4513	21	6	known	know	VERB
ejpam-4513	21	7	topological	topological	ADJ
ejpam-4513	21	8	indices	index	NOUN
ejpam-4513	21	9	.	.	PUNCT
ejpam-4513	22	1	for	for	ADP
ejpam-4513	22	2	a	a	DET
ejpam-4513	22	3	graph	graph	NOUN
ejpam-4513	22	4	g	g	NOUN
ejpam-4513	22	5	,	,	PUNCT
ejpam-4513	22	6	gutman	gutman	NOUN
ejpam-4513	22	7	et	et	PROPN
ejpam-4513	22	8	al	al	PROPN
ejpam-4513	22	9	.	.	PUNCT
ejpam-4513	23	1	[	[	X
ejpam-4513	23	2	12	12	NUM
ejpam-4513	23	3	]	]	PUNCT
ejpam-4513	23	4	defined	define	VERB
ejpam-4513	23	5	the	the	DET
ejpam-4513	23	6	second	second	ADJ
ejpam-4513	23	7	zagreb	zagreb	PROPN
ejpam-4513	23	8	index	index	NOUN
ejpam-4513	23	9	as	as	ADP
ejpam-4513	23	10	m2(g	m2(g	NOUN
ejpam-4513	23	11	)	)	PUNCT
ejpam-4513	23	12	=	=	PUNCT
ejpam-4513	24	1	∑	∑	PUNCT
ejpam-4513	24	2	uv∈e(g)[du	uv∈e(g)[du	PROPN
ejpam-4513	24	3	·	·	PUNCT
ejpam-4513	24	4	dv	dv	PROPN
ejpam-4513	24	5	]	]	X
ejpam-4513	24	6	.	.	PUNCT
ejpam-4513	25	1	fath	fath	PROPN
ejpam-4513	25	2	-	-	PUNCT
ejpam-4513	25	3	taber	taber	PROPN
ejpam-4513	25	4	et	et	PROPN
ejpam-4513	25	5	al	al	PROPN
ejpam-4513	25	6	.	.	PUNCT
ejpam-4513	26	1	[	[	X
ejpam-4513	26	2	9	9	NUM
ejpam-4513	26	3	]	]	PUNCT
ejpam-4513	26	4	proposed	propose	VERB
ejpam-4513	26	5	the	the	DET
ejpam-4513	26	6	third	third	PROPN
ejpam-4513	26	7	zagreb	zagreb	PROPN
ejpam-4513	26	8	index	index	NOUN
ejpam-4513	26	9	and	and	CCONJ
ejpam-4513	26	10	defined	define	VERB
ejpam-4513	26	11	it	it	PRON
ejpam-4513	26	12	as	as	ADP
ejpam-4513	26	13	zg3(g	zg3(g	PROPN
ejpam-4513	26	14	)	)	PUNCT
ejpam-4513	27	1	=	=	SYM
ejpam-4513	27	2	∑	∑	PUNCT
ejpam-4513	27	3	uv∈e(g	uv∈e(g	NUM
ejpam-4513	27	4	)	)	PUNCT
ejpam-4513	27	5	|du	|du	NUM
ejpam-4513	27	6	−	−	NOUN
ejpam-4513	27	7	dv|	dv|	NOUN
ejpam-4513	27	8	.	.	PUNCT
ejpam-4513	28	1	the	the	DET
ejpam-4513	28	2	hyper	hyper	PROPN
ejpam-4513	28	3	zagreb	zagreb	PROPN
ejpam-4513	28	4	index	index	NOUN
ejpam-4513	28	5	is	be	AUX
ejpam-4513	28	6	defined	define	VERB
ejpam-4513	28	7	in	in	ADP
ejpam-4513	28	8	[	[	X
ejpam-4513	28	9	23	23	NUM
ejpam-4513	28	10	]	]	PUNCT
ejpam-4513	28	11	as	as	ADP
ejpam-4513	28	12	m	m	PROPN
ejpam-4513	28	13	[	[	X
ejpam-4513	28	14	g	g	X
ejpam-4513	28	15	]	]	X
ejpam-4513	28	16	=	=	X
ejpam-4513	28	17	∑	∑	PUNCT
ejpam-4513	28	18	uv∈e[g][du+dv	uv∈e[g][du+dv	NOUN
ejpam-4513	28	19	]	]	X
ejpam-4513	29	1	2	2	X
ejpam-4513	29	2	.	.	PUNCT
ejpam-4513	29	3	the	the	DET
ejpam-4513	29	4	harmonic	harmonic	ADJ
ejpam-4513	29	5	index	index	NOUN
ejpam-4513	29	6	is	be	AUX
ejpam-4513	29	7	defined	define	VERB
ejpam-4513	29	8	in	in	ADP
ejpam-4513	29	9	[	[	X
ejpam-4513	29	10	14	14	NUM
ejpam-4513	29	11	]	]	PUNCT
ejpam-4513	29	12	as	as	ADP
ejpam-4513	29	13	h[g	h[g	NOUN
ejpam-4513	29	14	]	]	PUNCT
ejpam-4513	29	15	=	=	PUNCT
ejpam-4513	29	16	∑	∑	PUNCT
ejpam-4513	29	17	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	29	18	]	]	X
ejpam-4513	29	19	2	2	NUM
ejpam-4513	29	20	du+dv	du+dv	NOUN
ejpam-4513	29	21	.	.	PUNCT
ejpam-4513	30	1	the	the	DET
ejpam-4513	30	2	redefined	redefine	VERB
ejpam-4513	30	3	first	first	PROPN
ejpam-4513	30	4	zagreb	zagreb	PROPN
ejpam-4513	30	5	index	index	NOUN
ejpam-4513	30	6	is	be	AUX
ejpam-4513	30	7	defined	define	VERB
ejpam-4513	30	8	in	in	ADP
ejpam-4513	30	9	[	[	X
ejpam-4513	30	10	4	4	NUM
ejpam-4513	30	11	]	]	PUNCT
ejpam-4513	30	12	as	as	ADP
ejpam-4513	30	13	rezg1[g	rezg1[g	NOUN
ejpam-4513	30	14	]	]	X
ejpam-4513	30	15	=	=	PUNCT
ejpam-4513	30	16	∑	∑	PUNCT
ejpam-4513	30	17	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	30	18	]	]	X
ejpam-4513	30	19	[	[	PUNCT
ejpam-4513	30	20	du+dv	du+dv	X
ejpam-4513	30	21	du·dv	du·dv	PROPN
ejpam-4513	30	22	]	]	PUNCT
ejpam-4513	30	23	.	.	PUNCT
ejpam-4513	31	1	the	the	DET
ejpam-4513	31	2	first	first	ADJ
ejpam-4513	31	3	reformulated	reformulate	VERB
ejpam-4513	31	4	zagreb	zagreb	PROPN
ejpam-4513	31	5	index	index	NOUN
ejpam-4513	31	6	is	be	AUX
ejpam-4513	31	7	defined	define	VERB
ejpam-4513	31	8	in	in	ADP
ejpam-4513	31	9	[	[	X
ejpam-4513	31	10	19	19	NUM
ejpam-4513	31	11	]	]	PUNCT
ejpam-4513	31	12	as	as	ADP
ejpam-4513	31	13	em1[g	em1[g	X
ejpam-4513	31	14	]	]	X
ejpam-4513	31	15	=	=	PUNCT
ejpam-4513	31	16	∑	∑	PUNCT
ejpam-4513	31	17	uv∈e[g][du	uv∈e[g][du	PROPN
ejpam-4513	31	18	+	+	PROPN
ejpam-4513	31	19	dv	dv	PROPN
ejpam-4513	31	20	−	−	PROPN
ejpam-4513	31	21	2]2	2]2	NUM
ejpam-4513	31	22	furthermore	furthermore	ADV
ejpam-4513	31	23	,	,	PUNCT
ejpam-4513	31	24	for	for	ADP
ejpam-4513	31	25	a	a	DET
ejpam-4513	31	26	graph	graph	NOUN
ejpam-4513	31	27	g	g	NOUN
ejpam-4513	31	28	,	,	PUNCT
ejpam-4513	31	29	furtula	furtula	VERB
ejpam-4513	31	30	et	et	PROPN
ejpam-4513	31	31	al	al	PROPN
ejpam-4513	31	32	.	.	PROPN
ejpam-4513	31	33	,	,	PUNCT
ejpam-4513	32	1	[	[	X
ejpam-4513	32	2	8	8	NUM
ejpam-4513	32	3	]	]	PUNCT
ejpam-4513	32	4	proposed	propose	VERB
ejpam-4513	32	5	the	the	DET
ejpam-4513	32	6	definition	definition	NOUN
ejpam-4513	32	7	of	of	ADP
ejpam-4513	32	8	the	the	DET
ejpam-4513	32	9	forgotten	forget	VERB
ejpam-4513	32	10	topological	topological	ADJ
ejpam-4513	32	11	index	index	NOUN
ejpam-4513	32	12	as	as	ADP
ejpam-4513	32	13	f	f	PROPN
ejpam-4513	32	14	(	(	PUNCT
ejpam-4513	32	15	g	g	NOUN
ejpam-4513	32	16	)	)	PUNCT
ejpam-4513	32	17	=	=	PUNCT
ejpam-4513	33	1	∑	∑	PUNCT
ejpam-4513	33	2	uv∈e(g)[d	uv∈e(g)[d	ADJ
ejpam-4513	33	3	2	2	NUM
ejpam-4513	33	4	u	u	NOUN
ejpam-4513	33	5	+	+	X
ejpam-4513	33	6	d2v	d2v	PROPN
ejpam-4513	33	7	]	]	X
ejpam-4513	33	8	.	.	PUNCT
ejpam-4513	34	1	the	the	DET
ejpam-4513	34	2	extension	extension	NOUN
ejpam-4513	34	3	works	work	VERB
ejpam-4513	34	4	which	which	PRON
ejpam-4513	34	5	have	have	VERB
ejpam-4513	34	6	to	to	PART
ejpam-4513	34	7	be	be	AUX
ejpam-4513	34	8	done	do	VERB
ejpam-4513	34	9	on	on	ADP
ejpam-4513	34	10	this	this	DET
ejpam-4513	34	11	topological	topological	ADJ
ejpam-4513	34	12	indices	index	NOUN
ejpam-4513	34	13	are	be	AUX
ejpam-4513	34	14	recommended	recommend	VERB
ejpam-4513	34	15	in	in	ADP
ejpam-4513	34	16	[	[	PUNCT
ejpam-4513	34	17	17][28].the	17][28].the	NUM
ejpam-4513	34	18	square	square	ADJ
ejpam-4513	34	19	f	f	PROPN
ejpam-4513	34	20	-index	-index	NOUN
ejpam-4513	34	21	of	of	ADP
ejpam-4513	34	22	a	a	DET
ejpam-4513	34	23	graph	graph	NOUN
ejpam-4513	34	24	g	g	NOUN
ejpam-4513	34	25	is	be	AUX
ejpam-4513	34	26	defined	define	VERB
ejpam-4513	34	27	in	in	ADP
ejpam-4513	34	28	[	[	X
ejpam-4513	34	29	30	30	NUM
ejpam-4513	34	30	]	]	PUNCT
ejpam-4513	34	31	as	as	ADP
ejpam-4513	34	32	qf	qf	PROPN
ejpam-4513	35	1	[	[	X
ejpam-4513	35	2	g	g	X
ejpam-4513	35	3	]	]	X
ejpam-4513	35	4	=	=	PUNCT
ejpam-4513	35	5	∑	∑	PUNCT
ejpam-4513	35	6	uv∈e[g][d	uv∈e[g][d	NUM
ejpam-4513	35	7	2	2	NUM
ejpam-4513	35	8	u	u	NOUN
ejpam-4513	35	9	−	−	PROPN
ejpam-4513	35	10	d2v	d2v	PROPN
ejpam-4513	35	11	]	]	X
ejpam-4513	35	12	2	2	NUM
ejpam-4513	35	13	.	.	PUNCT
ejpam-4513	36	1	the	the	DET
ejpam-4513	36	2	sum	sum	NOUN
ejpam-4513	36	3	-	-	PUNCT
ejpam-4513	36	4	connectivity	connectivity	NOUN
ejpam-4513	36	5	index	index	NOUN
ejpam-4513	36	6	is	be	AUX
ejpam-4513	36	7	defined	define	VERB
ejpam-4513	36	8	in	in	ADP
ejpam-4513	36	9	[	[	X
ejpam-4513	36	10	2	2	NUM
ejpam-4513	36	11	]	]	PUNCT
ejpam-4513	36	12	as	as	ADP
ejpam-4513	36	13	sc[g	sc[g	PROPN
ejpam-4513	36	14	]	]	PUNCT
ejpam-4513	37	1	=	=	PUNCT
ejpam-4513	37	2	∑	∑	PUNCT
ejpam-4513	37	3	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	37	4	]	]	X
ejpam-4513	37	5	2√	2√	NUM
ejpam-4513	37	6	du	du	NOUN
ejpam-4513	37	7	+	+	CCONJ
ejpam-4513	37	8	dv	dv	PROPN
ejpam-4513	37	9	the	the	DET
ejpam-4513	37	10	randic	randic	ADJ
ejpam-4513	37	11	index	index	NOUN
ejpam-4513	37	12	is	be	AUX
ejpam-4513	37	13	defined	define	VERB
ejpam-4513	37	14	in	in	ADP
ejpam-4513	37	15	[	[	X
ejpam-4513	37	16	18	18	NUM
ejpam-4513	37	17	]	]	PUNCT
ejpam-4513	37	18	as	as	ADP
ejpam-4513	37	19	r[g	r[g	X
ejpam-4513	37	20	]	]	X
ejpam-4513	37	21	=	=	PUNCT
ejpam-4513	37	22	∑	∑	PUNCT
ejpam-4513	37	23	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	37	24	]	]	X
ejpam-4513	37	25	1√	1√	ADJ
ejpam-4513	37	26	dudv	dudv	NOUN
ejpam-4513	37	27	moreover	moreover	ADV
ejpam-4513	37	28	,	,	PUNCT
ejpam-4513	37	29	for	for	ADP
ejpam-4513	37	30	a	a	DET
ejpam-4513	37	31	graph	graph	NOUN
ejpam-4513	37	32	g	g	NOUN
ejpam-4513	37	33	,	,	PUNCT
ejpam-4513	37	34	the	the	DET
ejpam-4513	37	35	reciprocal	reciprocal	ADJ
ejpam-4513	37	36	randic	randic	ADJ
ejpam-4513	37	37	index	index	NOUN
ejpam-4513	37	38	is	be	AUX
ejpam-4513	37	39	defined	define	VERB
ejpam-4513	37	40	in	in	ADP
ejpam-4513	37	41	[	[	X
ejpam-4513	37	42	3	3	NUM
ejpam-4513	37	43	]	]	PUNCT
ejpam-4513	37	44	as	as	ADP
ejpam-4513	37	45	rr[g	rr[g	PROPN
ejpam-4513	37	46	]	]	PUNCT
ejpam-4513	37	47	=	=	NOUN
ejpam-4513	37	48	∑	∑	PUNCT
ejpam-4513	37	49	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	37	50	]	]	X
ejpam-4513	37	51	√	√	ADP
ejpam-4513	37	52	du.dv	du.dv	PROPN
ejpam-4513	37	53	.	.	PUNCT
ejpam-4513	38	1	gourava	gourava	NOUN
ejpam-4513	38	2	index	index	NOUN
ejpam-4513	38	3	of	of	ADP
ejpam-4513	38	4	graph	graph	NOUN
ejpam-4513	38	5	g	g	PROPN
ejpam-4513	38	6	is	be	AUX
ejpam-4513	38	7	defined	define	VERB
ejpam-4513	38	8	in	in	ADP
ejpam-4513	38	9	[	[	X
ejpam-4513	38	10	29	29	NUM
ejpam-4513	38	11	]	]	PUNCT
ejpam-4513	38	12	as	as	ADP
ejpam-4513	38	13	go(g	go(g	NOUN
ejpam-4513	38	14	)	)	PUNCT
ejpam-4513	38	15	=	=	SYM
ejpam-4513	38	16	∑	∑	PUNCT
ejpam-4513	38	17	uv∈e(g)[du+	uv∈e(g)[du+	PROPN
ejpam-4513	38	18	dv	dv	PROPN
ejpam-4513	38	19	+	+	CCONJ
ejpam-4513	38	20	dudv	dudv	ADV
ejpam-4513	38	21	]	]	PUNCT
ejpam-4513	38	22	.	.	PUNCT
ejpam-4513	39	1	the	the	DET
ejpam-4513	39	2	atom	atom	NOUN
ejpam-4513	39	3	bond	bond	NOUN
ejpam-4513	39	4	connectivity	connectivity	NOUN
ejpam-4513	39	5	index	index	NOUN
ejpam-4513	39	6	is	be	AUX
ejpam-4513	39	7	defined	define	VERB
ejpam-4513	39	8	in	in	ADP
ejpam-4513	39	9	[	[	X
ejpam-4513	39	10	7	7	NUM
ejpam-4513	39	11	]	]	PUNCT
ejpam-4513	39	12	as	as	ADP
ejpam-4513	39	13	abc[g	abc[g	NOUN
ejpam-4513	39	14	]	]	PUNCT
ejpam-4513	40	1	=	=	SYM
ejpam-4513	40	2	∑	∑	PUNCT
ejpam-4513	40	3	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	40	4	]	]	X
ejpam-4513	40	5	√	√	PUNCT
ejpam-4513	40	6	du	du	PROPN
ejpam-4513	40	7	+	+	CCONJ
ejpam-4513	40	8	dv	dv	PROPN
ejpam-4513	40	9	−	−	PROPN
ejpam-4513	40	10	2	2	NUM
ejpam-4513	40	11	du.dv	du.dv	NOUN
ejpam-4513	40	12	the	the	DET
ejpam-4513	40	13	redefined	redefine	VERB
ejpam-4513	40	14	second	second	PROPN
ejpam-4513	40	15	zagreb	zagreb	PROPN
ejpam-4513	40	16	index	index	NOUN
ejpam-4513	40	17	is	be	AUX
ejpam-4513	40	18	defined	define	VERB
ejpam-4513	40	19	in	in	ADP
ejpam-4513	40	20	[	[	X
ejpam-4513	40	21	5	5	NUM
ejpam-4513	40	22	]	]	PUNCT
ejpam-4513	40	23	as	as	ADP
ejpam-4513	40	24	rezg2[g	rezg2[g	NOUN
ejpam-4513	40	25	]	]	X
ejpam-4513	40	26	=	=	PUNCT
ejpam-4513	40	27	∑	∑	PUNCT
ejpam-4513	40	28	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	40	29	]	]	X
ejpam-4513	40	30	du	du	X
ejpam-4513	40	31	·	·	PUNCT
ejpam-4513	40	32	dv	dv	PROPN
ejpam-4513	40	33	du	du	PROPN
ejpam-4513	40	34	+	+	CCONJ
ejpam-4513	40	35	dv	dv	PROPN
ejpam-4513	40	36	the	the	DET
ejpam-4513	40	37	geometric	geometric	ADJ
ejpam-4513	40	38	-	-	PUNCT
ejpam-4513	40	39	arithmetic	arithmetic	ADJ
ejpam-4513	40	40	index	index	NOUN
ejpam-4513	40	41	is	be	AUX
ejpam-4513	40	42	defined	define	VERB
ejpam-4513	40	43	in	in	ADP
ejpam-4513	40	44	[	[	X
ejpam-4513	40	45	6	6	NUM
ejpam-4513	40	46	]	]	PUNCT
ejpam-4513	40	47	as	as	ADP
ejpam-4513	40	48	ga[g	ga[g	PROPN
ejpam-4513	40	49	]	]	PUNCT
ejpam-4513	40	50	=	=	PUNCT
ejpam-4513	40	51	∑	∑	PUNCT
ejpam-4513	40	52	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	40	53	]	]	X
ejpam-4513	40	54	2	2	NUM
ejpam-4513	40	55	√	√	NOUN
ejpam-4513	40	56	du.dv	du.dv	PROPN
ejpam-4513	40	57	du	du	PROPN
ejpam-4513	40	58	+	+	CCONJ
ejpam-4513	40	59	dv	dv	PROPN
ejpam-4513	40	60	the	the	DET
ejpam-4513	40	61	sombor	sombor	NOUN
ejpam-4513	40	62	index	index	NOUN
ejpam-4513	40	63	is	be	AUX
ejpam-4513	40	64	defined	define	VERB
ejpam-4513	40	65	in	in	ADP
ejpam-4513	40	66	[	[	X
ejpam-4513	40	67	11	11	NUM
ejpam-4513	40	68	]	]	PUNCT
ejpam-4513	40	69	as	as	ADP
ejpam-4513	40	70	so[g	so[g	X
ejpam-4513	40	71	]	]	X
ejpam-4513	40	72	=	=	PUNCT
ejpam-4513	40	73	∑	∑	PUNCT
ejpam-4513	40	74	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	40	75	]	]	X
ejpam-4513	40	76	√	√	PROPN
ejpam-4513	40	77	d2u	d2u	PROPN
ejpam-4513	40	78	+	+	CCONJ
ejpam-4513	40	79	d2v	d2v	PROPN
ejpam-4513	40	80	.	.	PUNCT
ejpam-4513	41	1	finally	finally	ADV
ejpam-4513	41	2	,	,	PUNCT
ejpam-4513	41	3	the	the	DET
ejpam-4513	41	4	nirmala	nirmala	PROPN
ejpam-4513	41	5	index	index	NOUN
ejpam-4513	41	6	is	be	AUX
ejpam-4513	41	7	defined	define	VERB
ejpam-4513	41	8	in	in	ADP
ejpam-4513	41	9	[	[	X
ejpam-4513	41	10	31	31	NUM
ejpam-4513	41	11	]	]	PUNCT
ejpam-4513	41	12	as	as	ADP
ejpam-4513	41	13	n	n	PRON
ejpam-4513	41	14	[	[	X
ejpam-4513	41	15	g	g	X
ejpam-4513	41	16	]	]	X
ejpam-4513	41	17	=	=	PUNCT
ejpam-4513	41	18	∑	∑	PUNCT
ejpam-4513	41	19	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	41	20	]	]	X
ejpam-4513	41	21	√	√	PUNCT
ejpam-4513	41	22	du	du	PROPN
ejpam-4513	41	23	+	+	CCONJ
ejpam-4513	41	24	dv	dv	PROPN
ejpam-4513	41	25	.	.	PROPN
ejpam-4513	42	1	in	in	ADP
ejpam-4513	42	2	the	the	DET
ejpam-4513	42	3	following	following	NOUN
ejpam-4513	42	4	,	,	PUNCT
ejpam-4513	42	5	we	we	PRON
ejpam-4513	42	6	will	will	AUX
ejpam-4513	42	7	recall	recall	VERB
ejpam-4513	42	8	the	the	DET
ejpam-4513	42	9	two	two	NUM
ejpam-4513	42	10	definitions	definition	NOUN
ejpam-4513	42	11	which	which	PRON
ejpam-4513	42	12	are	be	AUX
ejpam-4513	42	13	important	important	ADJ
ejpam-4513	42	14	in	in	ADP
ejpam-4513	42	15	this	this	DET
ejpam-4513	42	16	paper	paper	NOUN
ejpam-4513	42	17	.	.	PUNCT
ejpam-4513	43	1	dafik	dafik	VERB
ejpam-4513	43	2	et	et	PROPN
ejpam-4513	43	3	al	al	PROPN
ejpam-4513	43	4	.	.	PUNCT
ejpam-4513	43	5	/	/	SYM
ejpam-4513	43	6	eur	eur	PROPN
ejpam-4513	43	7	.	.	PUNCT
ejpam-4513	44	1	j.	j.	PROPN
ejpam-4513	44	2	pure	pure	PROPN
ejpam-4513	44	3	appl	appl	PROPN
ejpam-4513	44	4	.	.	PROPN
ejpam-4513	44	5	math	math	PROPN
ejpam-4513	44	6	,	,	PUNCT
ejpam-4513	44	7	16	16	NUM
ejpam-4513	44	8	(	(	PUNCT
ejpam-4513	44	9	2	2	NUM
ejpam-4513	44	10	)	)	PUNCT
ejpam-4513	44	11	(	(	PUNCT
ejpam-4513	44	12	2023	2023	NUM
ejpam-4513	44	13	)	)	PUNCT
ejpam-4513	44	14	,	,	PUNCT
ejpam-4513	44	15	1094	1094	NUM
ejpam-4513	44	16	-	-	SYM
ejpam-4513	44	17	1109	1109	NUM
ejpam-4513	44	18	1096	1096	NUM
ejpam-4513	44	19	definition	definition	NOUN
ejpam-4513	44	20	1	1	NUM
ejpam-4513	44	21	.	.	PUNCT
ejpam-4513	45	1	[	[	X
ejpam-4513	45	2	15	15	NUM
ejpam-4513	45	3	]	]	X
ejpam-4513	45	4	the	the	DET
ejpam-4513	45	5	semi	semi	ADJ
ejpam-4513	45	6	-	-	ADJ
ejpam-4513	45	7	total	total	ADJ
ejpam-4513	45	8	point	point	NOUN
ejpam-4513	45	9	graph	graph	NOUN
ejpam-4513	45	10	of	of	ADP
ejpam-4513	45	11	neighbourhood	neighbourhood	NOUN
ejpam-4513	45	12	edge	edge	NOUN
ejpam-4513	45	13	corona	corona	NOUN
ejpam-4513	45	14	graph	graph	NOUN
ejpam-4513	45	15	of	of	ADP
ejpam-4513	45	16	g	g	PROPN
ejpam-4513	45	17	and	and	CCONJ
ejpam-4513	45	18	h	h	NOUN
ejpam-4513	45	19	is	be	AUX
ejpam-4513	45	20	a	a	DET
ejpam-4513	45	21	connected	connected	ADJ
ejpam-4513	45	22	graph	graph	NOUN
ejpam-4513	45	23	,	,	PUNCT
ejpam-4513	45	24	denoted	denote	VERB
ejpam-4513	45	25	by	by	ADP
ejpam-4513	45	26	g⊖nr	g⊖nr	ADJ
ejpam-4513	45	27	h	h	NOUN
ejpam-4513	45	28	=	=	SYM
ejpam-4513	45	29	ψ	ψ	NOUN
ejpam-4513	45	30	.	.	PUNCT
ejpam-4513	45	31	definition	definition	NOUN
ejpam-4513	45	32	2	2	NUM
ejpam-4513	45	33	.	.	PUNCT
ejpam-4513	46	1	[	[	X
ejpam-4513	46	2	25	25	NUM
ejpam-4513	46	3	]	]	PUNCT
ejpam-4513	46	4	by	by	ADP
ejpam-4513	46	5	g⊖nr	g⊖nr	ADJ
ejpam-4513	46	6	h	h	NOUN
ejpam-4513	46	7	=	=	SYM
ejpam-4513	46	8	ψ	ψ	NOUN
ejpam-4513	46	9	,	,	PUNCT
ejpam-4513	46	10	we	we	PRON
ejpam-4513	46	11	mean	mean	VERB
ejpam-4513	46	12	a	a	DET
ejpam-4513	46	13	graph	graph	NOUN
ejpam-4513	46	14	obtained	obtain	VERB
ejpam-4513	46	15	from	from	ADP
ejpam-4513	46	16	one	one	NUM
ejpam-4513	46	17	copy	copy	NOUN
ejpam-4513	46	18	of	of	ADP
ejpam-4513	46	19	r(g	r(g	NUM
ejpam-4513	46	20	)	)	PUNCT
ejpam-4513	46	21	and	and	CCONJ
ejpam-4513	46	22	m1	m1	PROPN
ejpam-4513	46	23	copies	copy	NOUN
ejpam-4513	46	24	of	of	ADP
ejpam-4513	46	25	h	h	NOUN
ejpam-4513	46	26	and	and	CCONJ
ejpam-4513	46	27	joining	join	VERB
ejpam-4513	46	28	every	every	DET
ejpam-4513	46	29	vertex	vertex	NOUN
ejpam-4513	46	30	of	of	ADP
ejpam-4513	46	31	ith	ith	PROPN
ejpam-4513	46	32	copy	copy	NOUN
ejpam-4513	46	33	of	of	ADP
ejpam-4513	46	34	h	h	NOUN
ejpam-4513	46	35	to	to	ADP
ejpam-4513	46	36	the	the	DET
ejpam-4513	46	37	vertices	vertex	NOUN
ejpam-4513	46	38	which	which	PRON
ejpam-4513	46	39	are	be	AUX
ejpam-4513	46	40	incident	incident	NOUN
ejpam-4513	46	41	to	to	ADP
ejpam-4513	46	42	the	the	DET
ejpam-4513	46	43	edge	edge	NOUN
ejpam-4513	46	44	ei	ei	ADP
ejpam-4513	46	45	∈	∈	PROPN
ejpam-4513	46	46	e(g	e(g	PROPN
ejpam-4513	46	47	)	)	PUNCT
ejpam-4513	46	48	,	,	PUNCT
ejpam-4513	47	1	[	[	X
ejpam-4513	47	2	1	1	NUM
ejpam-4513	47	3	≤	≤	NUM
ejpam-4513	47	4	i	i	NOUN
ejpam-4513	47	5	≤	≤	ADJ
ejpam-4513	47	6	m1	m1	NOUN
ejpam-4513	47	7	]	]	PUNCT
ejpam-4513	47	8	.	.	PUNCT
ejpam-4513	48	1	throughout	throughout	ADP
ejpam-4513	48	2	the	the	DET
ejpam-4513	48	3	paper	paper	NOUN
ejpam-4513	48	4	,	,	PUNCT
ejpam-4513	48	5	we	we	PRON
ejpam-4513	48	6	utilize	utilize	VERB
ejpam-4513	48	7	the	the	DET
ejpam-4513	48	8	finite	finite	ADJ
ejpam-4513	48	9	simple	simple	ADJ
ejpam-4513	48	10	connected	connected	ADJ
ejpam-4513	48	11	graphs	graph	NOUN
ejpam-4513	48	12	.	.	PUNCT
ejpam-4513	49	1	let	let	VERB
ejpam-4513	49	2	g	g	NOUN
ejpam-4513	49	3	and	and	CCONJ
ejpam-4513	49	4	h	h	NOUN
ejpam-4513	49	5	be	be	AUX
ejpam-4513	49	6	graphs	graph	NOUN
ejpam-4513	49	7	with	with	ADP
ejpam-4513	49	8	vertex	vertex	NOUN
ejpam-4513	49	9	sets	set	NOUN
ejpam-4513	49	10	v	v	ADP
ejpam-4513	49	11	(	(	PUNCT
ejpam-4513	49	12	g	g	NOUN
ejpam-4513	49	13	)	)	PUNCT
ejpam-4513	49	14	,	,	PUNCT
ejpam-4513	49	15	v	v	X
ejpam-4513	49	16	(	(	PUNCT
ejpam-4513	49	17	h	h	NOUN
ejpam-4513	49	18	)	)	PUNCT
ejpam-4513	49	19	and	and	CCONJ
ejpam-4513	49	20	edge	edge	NOUN
ejpam-4513	49	21	sets	set	NOUN
ejpam-4513	49	22	e(g	e(g	PROPN
ejpam-4513	49	23	)	)	PUNCT
ejpam-4513	49	24	,	,	PUNCT
ejpam-4513	49	25	e(h	e(h	PROPN
ejpam-4513	49	26	)	)	PUNCT
ejpam-4513	49	27	,	,	PUNCT
ejpam-4513	49	28	respectively	respectively	ADV
ejpam-4513	49	29	.	.	PUNCT
ejpam-4513	50	1	the	the	DET
ejpam-4513	50	2	degree	degree	NOUN
ejpam-4513	50	3	of	of	ADP
ejpam-4513	50	4	vertex	vertex	NOUN
ejpam-4513	50	5	v	v	NOUN
ejpam-4513	50	6	is	be	AUX
ejpam-4513	50	7	the	the	DET
ejpam-4513	50	8	number	number	NOUN
ejpam-4513	50	9	of	of	ADP
ejpam-4513	50	10	vertices	vertex	NOUN
ejpam-4513	50	11	adjacent	adjacent	ADJ
ejpam-4513	50	12	to	to	ADP
ejpam-4513	50	13	v.	v.	INTJ
ejpam-4513	50	14	let	let	VERB
ejpam-4513	50	15	{	{	PUNCT
ejpam-4513	50	16	v	v	NOUN
ejpam-4513	50	17	(	(	PUNCT
ejpam-4513	50	18	g	g	NOUN
ejpam-4513	50	19	)	)	PUNCT
ejpam-4513	50	20	∩	∩	ADJ
ejpam-4513	50	21	v	v	X
ejpam-4513	50	22	(	(	PUNCT
ejpam-4513	50	23	h	h	NOUN
ejpam-4513	50	24	)	)	PUNCT
ejpam-4513	50	25	=	=	NOUN
ejpam-4513	50	26	∅/g	∅/g	NOUN
ejpam-4513	50	27	∈	∈	NOUN
ejpam-4513	50	28	v	v	NOUN
ejpam-4513	50	29	(	(	PUNCT
ejpam-4513	50	30	g	g	NOUN
ejpam-4513	50	31	)	)	PUNCT
ejpam-4513	50	32	,	,	PUNCT
ejpam-4513	50	33	h	h	NOUN
ejpam-4513	50	34	∈	∈	PROPN
ejpam-4513	50	35	v	v	ADP
ejpam-4513	50	36	(	(	PUNCT
ejpam-4513	50	37	h	h	NOUN
ejpam-4513	50	38	)	)	PUNCT
ejpam-4513	50	39	}	}	PUNCT
ejpam-4513	50	40	.	.	PUNCT
ejpam-4513	51	1	the	the	DET
ejpam-4513	51	2	number	number	NOUN
ejpam-4513	51	3	of	of	ADP
ejpam-4513	51	4	vertices	vertex	NOUN
ejpam-4513	51	5	and	and	CCONJ
ejpam-4513	51	6	number	number	NOUN
ejpam-4513	51	7	of	of	ADP
ejpam-4513	51	8	edges	edge	NOUN
ejpam-4513	51	9	in	in	ADP
ejpam-4513	51	10	the	the	DET
ejpam-4513	51	11	graphs	graph	NOUN
ejpam-4513	51	12	g	g	NOUN
ejpam-4513	51	13	and	and	CCONJ
ejpam-4513	51	14	h	h	NOUN
ejpam-4513	51	15	are	be	AUX
ejpam-4513	51	16	represented	represent	VERB
ejpam-4513	51	17	by	by	ADP
ejpam-4513	51	18	v1	v1	PROPN
ejpam-4513	51	19	,	,	PUNCT
ejpam-4513	51	20	v2	v2	PROPN
ejpam-4513	51	21	and	and	CCONJ
ejpam-4513	51	22	e1	e1	PROPN
ejpam-4513	51	23	,	,	PUNCT
ejpam-4513	51	24	e2	e2	PROPN
ejpam-4513	51	25	,	,	PUNCT
ejpam-4513	51	26	respectively	respectively	ADV
ejpam-4513	51	27	.	.	PUNCT
ejpam-4513	52	1	by	by	ADP
ejpam-4513	52	2	this	this	DET
ejpam-4513	52	3	definition	definition	NOUN
ejpam-4513	52	4	,	,	PUNCT
ejpam-4513	52	5	we	we	PRON
ejpam-4513	52	6	have	have	VERB
ejpam-4513	52	7	∆g	∆g	PROPN
ejpam-4513	52	8	≥	≥	NUM
ejpam-4513	52	9	degg(g	degg(g	PROPN
ejpam-4513	52	10	)	)	PUNCT
ejpam-4513	52	11	,	,	PUNCT
ejpam-4513	52	12	and	and	CCONJ
ejpam-4513	52	13	δg	δg	VERB
ejpam-4513	52	14	≤	≤	NUM
ejpam-4513	52	15	degg(g	degg(g	PROPN
ejpam-4513	52	16	)	)	PUNCT
ejpam-4513	52	17	the	the	DET
ejpam-4513	52	18	bounds	bound	NOUN
ejpam-4513	52	19	for	for	ADP
ejpam-4513	52	20	different	different	ADJ
ejpam-4513	52	21	topological	topological	ADJ
ejpam-4513	52	22	indices	index	NOUN
ejpam-4513	52	23	are	be	AUX
ejpam-4513	52	24	obtained	obtain	VERB
ejpam-4513	52	25	by	by	ADP
ejpam-4513	52	26	many	many	ADJ
ejpam-4513	52	27	researchers	researcher	NOUN
ejpam-4513	52	28	for	for	ADP
ejpam-4513	52	29	graphs	graph	NOUN
ejpam-4513	52	30	.	.	PUNCT
ejpam-4513	53	1	now	now	ADV
ejpam-4513	53	2	we	we	PRON
ejpam-4513	53	3	will	will	AUX
ejpam-4513	53	4	define	define	VERB
ejpam-4513	53	5	a	a	DET
ejpam-4513	53	6	new	new	ADJ
ejpam-4513	53	7	class	class	NOUN
ejpam-4513	53	8	of	of	ADP
ejpam-4513	53	9	graph	graph	NOUN
ejpam-4513	53	10	operator	operator	NOUN
ejpam-4513	53	11	,	,	PUNCT
ejpam-4513	53	12	namely	namely	ADV
ejpam-4513	53	13	semi	semi	ADJ
ejpam-4513	53	14	-	-	ADJ
ejpam-4513	53	15	total	total	ADJ
ejpam-4513	53	16	point	point	NOUN
ejpam-4513	53	17	graph	graph	NOUN
ejpam-4513	53	18	of	of	ADP
ejpam-4513	53	19	neighbourhood	neighbourhood	NOUN
ejpam-4513	53	20	edge	edge	NOUN
ejpam-4513	53	21	corona	corona	NOUN
ejpam-4513	53	22	graph	graph	NOUN
ejpam-4513	53	23	of	of	ADP
ejpam-4513	53	24	g	g	PROPN
ejpam-4513	53	25	and	and	CCONJ
ejpam-4513	53	26	h	h	NOUN
ejpam-4513	53	27	as	as	ADP
ejpam-4513	53	28	(	(	PUNCT
ejpam-4513	53	29	ψ	ψ	NOUN
ejpam-4513	53	30	graph	graph	NOUN
ejpam-4513	53	31	)	)	PUNCT
ejpam-4513	53	32	,	,	PUNCT
ejpam-4513	53	33	see	see	VERB
ejpam-4513	53	34	[	[	X
ejpam-4513	53	35	1	1	NUM
ejpam-4513	53	36	]	]	PUNCT
ejpam-4513	53	37	.	.	PUNCT
ejpam-4513	54	1	definition	definition	NOUN
ejpam-4513	54	2	3	3	NUM
ejpam-4513	54	3	.	.	PUNCT
ejpam-4513	54	4	by	by	ADP
ejpam-4513	54	5	g⊖nrh	g⊖nrh	NOUN
ejpam-4513	54	6	=	=	SYM
ejpam-4513	54	7	ψ	ψ	NOUN
ejpam-4513	54	8	,	,	PUNCT
ejpam-4513	54	9	we	we	PRON
ejpam-4513	54	10	mean	mean	VERB
ejpam-4513	54	11	a	a	DET
ejpam-4513	54	12	graph	graph	NOUN
ejpam-4513	54	13	obtained	obtain	VERB
ejpam-4513	54	14	from	from	ADP
ejpam-4513	54	15	one	one	NUM
ejpam-4513	54	16	copy	copy	NOUN
ejpam-4513	54	17	of	of	ADP
ejpam-4513	54	18	graph	graph	NOUN
ejpam-4513	54	19	g	g	PROPN
ejpam-4513	54	20	and	and	CCONJ
ejpam-4513	54	21	e1	e1	NOUN
ejpam-4513	54	22	copies	copy	NOUN
ejpam-4513	54	23	of	of	ADP
ejpam-4513	54	24	h	h	NOUN
ejpam-4513	54	25	and	and	CCONJ
ejpam-4513	54	26	joining	join	VERB
ejpam-4513	54	27	a	a	DET
ejpam-4513	54	28	vertex	vertex	NOUN
ejpam-4513	54	29	of	of	ADP
ejpam-4513	54	30	v	v	NOUN
ejpam-4513	54	31	(	(	PUNCT
ejpam-4513	54	32	g	g	NOUN
ejpam-4513	54	33	)	)	PUNCT
ejpam-4513	54	34	,	,	PUNCT
ejpam-4513	54	35	that	that	ADV
ejpam-4513	54	36	is	is	ADV
ejpam-4513	54	37	,	,	PUNCT
ejpam-4513	54	38	on	on	ADP
ejpam-4513	54	39	the	the	DET
ejpam-4513	54	40	ith	ith	PROPN
ejpam-4513	54	41	vertex	vertex	NOUN
ejpam-4513	54	42	in	in	ADP
ejpam-4513	54	43	g	g	PROPN
ejpam-4513	54	44	is	be	AUX
ejpam-4513	54	45	adjacent	adjacent	ADJ
ejpam-4513	54	46	to	to	ADP
ejpam-4513	54	47	every	every	DET
ejpam-4513	54	48	vertex	vertex	NOUN
ejpam-4513	54	49	of	of	ADP
ejpam-4513	54	50	ith	ith	PROPN
ejpam-4513	54	51	copy	copy	NOUN
ejpam-4513	54	52	of	of	ADP
ejpam-4513	54	53	h.	h.	PROPN
ejpam-4513	54	54	dafik	dafik	PROPN
ejpam-4513	55	1	et	et	PROPN
ejpam-4513	55	2	al	al	PROPN
ejpam-4513	55	3	.	.	PUNCT
ejpam-4513	55	4	/	/	SYM
ejpam-4513	55	5	eur	eur	PROPN
ejpam-4513	55	6	.	.	PUNCT
ejpam-4513	56	1	j.	j.	PROPN
ejpam-4513	56	2	pure	pure	PROPN
ejpam-4513	56	3	appl	appl	PROPN
ejpam-4513	56	4	.	.	PROPN
ejpam-4513	56	5	math	math	PROPN
ejpam-4513	56	6	,	,	PUNCT
ejpam-4513	56	7	16	16	NUM
ejpam-4513	56	8	(	(	PUNCT
ejpam-4513	56	9	2	2	NUM
ejpam-4513	56	10	)	)	PUNCT
ejpam-4513	56	11	(	(	PUNCT
ejpam-4513	56	12	2023	2023	NUM
ejpam-4513	56	13	)	)	PUNCT
ejpam-4513	56	14	,	,	PUNCT
ejpam-4513	56	15	1094	1094	NUM
ejpam-4513	56	16	-	-	SYM
ejpam-4513	56	17	1109	1109	NUM
ejpam-4513	56	18	1097	1097	NUM
ejpam-4513	56	19	table	table	NOUN
ejpam-4513	56	20	1	1	NUM
ejpam-4513	56	21	.	.	PUNCT
ejpam-4513	56	22	edge	edge	NOUN
ejpam-4513	56	23	partition	partition	NOUN
ejpam-4513	56	24	of	of	ADP
ejpam-4513	56	25	ψ	ψ	NOUN
ejpam-4513	56	26	graph	graph	NOUN
ejpam-4513	56	27	edge	edge	NOUN
ejpam-4513	56	28	dg(2	dg(2	NOUN
ejpam-4513	56	29	+	+	SYM
ejpam-4513	56	30	v2	v2	PROPN
ejpam-4513	56	31	)	)	PUNCT
ejpam-4513	56	32	,	,	PUNCT
ejpam-4513	56	33	dg(2	dg(2	PROPN
ejpam-4513	56	34	+	+	SYM
ejpam-4513	56	35	v2	v2	PROPN
ejpam-4513	56	36	)	)	PUNCT
ejpam-4513	56	37	(	(	PUNCT
ejpam-4513	56	38	2	2	NUM
ejpam-4513	56	39	,	,	PUNCT
ejpam-4513	56	40	dg(2	dg(2	PROPN
ejpam-4513	56	41	+	+	SYM
ejpam-4513	56	42	v2	v2	PROPN
ejpam-4513	56	43	)	)	PUNCT
ejpam-4513	56	44	(	(	PUNCT
ejpam-4513	56	45	dh	dh	NOUN
ejpam-4513	57	1	+	+	NOUN
ejpam-4513	57	2	2	2	NUM
ejpam-4513	57	3	,	,	PUNCT
ejpam-4513	57	4	dh	dh	NOUN
ejpam-4513	57	5	+	+	NOUN
ejpam-4513	57	6	2	2	NUM
ejpam-4513	57	7	)	)	PUNCT
ejpam-4513	57	8	(	(	PUNCT
ejpam-4513	57	9	dh	dh	NOUN
ejpam-4513	57	10	+	+	NOUN
ejpam-4513	57	11	2	2	NUM
ejpam-4513	57	12	,	,	PUNCT
ejpam-4513	57	13	dg(2	dg(2	PROPN
ejpam-4513	57	14	+	+	SYM
ejpam-4513	57	15	v2	v2	NOUN
ejpam-4513	57	16	)	)	PUNCT
ejpam-4513	57	17	frequency	frequency	NOUN
ejpam-4513	57	18	e1	e1	NOUN
ejpam-4513	57	19	2e1	2e1	NUM
ejpam-4513	57	20	e1e2	e1e2	NOUN
ejpam-4513	57	21	2v2e1	2v2e1	NUM
ejpam-4513	57	22	from	from	ADP
ejpam-4513	57	23	now	now	ADV
ejpam-4513	57	24	on	on	ADV
ejpam-4513	57	25	,	,	PUNCT
ejpam-4513	57	26	we	we	PRON
ejpam-4513	57	27	will	will	AUX
ejpam-4513	57	28	ready	ready	VERB
ejpam-4513	57	29	to	to	PART
ejpam-4513	57	30	describe	describe	VERB
ejpam-4513	57	31	our	our	PRON
ejpam-4513	57	32	new	new	ADJ
ejpam-4513	57	33	results	result	NOUN
ejpam-4513	57	34	related	relate	VERB
ejpam-4513	57	35	to	to	ADP
ejpam-4513	57	36	bounds	bound	NOUN
ejpam-4513	57	37	for	for	ADP
ejpam-4513	57	38	defined	define	VERB
ejpam-4513	57	39	class	class	NOUN
ejpam-4513	57	40	of	of	ADP
ejpam-4513	57	41	graphs	graph	NOUN
ejpam-4513	57	42	using	use	VERB
ejpam-4513	57	43	recalled	recall	VERB
ejpam-4513	57	44	topological	topological	ADJ
ejpam-4513	57	45	indices	index	NOUN
ejpam-4513	57	46	.	.	PUNCT
ejpam-4513	58	1	2	2	X
ejpam-4513	58	2	.	.	NUM
ejpam-4513	58	3	bounds	bound	NOUN
ejpam-4513	58	4	on	on	ADP
ejpam-4513	58	5	various	various	ADJ
ejpam-4513	58	6	topological	topological	ADJ
ejpam-4513	58	7	indices	index	NOUN
ejpam-4513	58	8	of	of	ADP
ejpam-4513	58	9	ψ	ψ	NOUN
ejpam-4513	58	10	graph	graph	NOUN
ejpam-4513	58	11	in	in	ADP
ejpam-4513	58	12	this	this	DET
ejpam-4513	58	13	section	section	NOUN
ejpam-4513	58	14	,	,	PUNCT
ejpam-4513	58	15	we	we	PRON
ejpam-4513	58	16	formulate	formulate	VERB
ejpam-4513	58	17	the	the	DET
ejpam-4513	58	18	bounds	bound	NOUN
ejpam-4513	58	19	on	on	ADP
ejpam-4513	58	20	the	the	DET
ejpam-4513	58	21	m2	m2	PROPN
ejpam-4513	58	22	,	,	PUNCT
ejpam-4513	58	23	zg3	zg3	PROPN
ejpam-4513	58	24	,	,	PUNCT
ejpam-4513	58	25	hm	hm	INTJ
ejpam-4513	58	26	,	,	PUNCT
ejpam-4513	58	27	h	h	NOUN
ejpam-4513	58	28	,	,	PUNCT
ejpam-4513	58	29	rezg1	rezg1	PROPN
ejpam-4513	58	30	,	,	PUNCT
ejpam-4513	58	31	em1	em1	PROPN
ejpam-4513	58	32	,	,	PUNCT
ejpam-4513	58	33	f	f	PROPN
ejpam-4513	58	34	,	,	PUNCT
ejpam-4513	58	35	qf	qf	PROPN
ejpam-4513	58	36	,	,	PUNCT
ejpam-4513	58	37	sc	sc	PROPN
ejpam-4513	58	38	,	,	PUNCT
ejpam-4513	58	39	r	r	PROPN
ejpam-4513	58	40	,	,	PUNCT
ejpam-4513	58	41	rr	rr	NOUN
ejpam-4513	58	42	,	,	PUNCT
ejpam-4513	58	43	go	go	VERB
ejpam-4513	58	44	,	,	PUNCT
ejpam-4513	58	45	abc	abc	PROPN
ejpam-4513	58	46	,	,	PUNCT
ejpam-4513	58	47	rezg2	rezg2	PROPN
ejpam-4513	58	48	,	,	PUNCT
ejpam-4513	58	49	ga	ga	PROPN
ejpam-4513	58	50	,	,	PUNCT
ejpam-4513	58	51	so	so	ADV
ejpam-4513	58	52	and	and	CCONJ
ejpam-4513	58	53	n	n	PRON
ejpam-4513	58	54	indices	index	NOUN
ejpam-4513	58	55	of	of	ADP
ejpam-4513	58	56	ψ	ψ	NOUN
ejpam-4513	58	57	graph	graph	NOUN
ejpam-4513	58	58	.	.	PUNCT
ejpam-4513	59	1	theorem	theorem	NOUN
ejpam-4513	59	2	1	1	NUM
ejpam-4513	59	3	.	.	PUNCT
ejpam-4513	60	1	let	let	VERB
ejpam-4513	60	2	g	g	NOUN
ejpam-4513	60	3	and	and	CCONJ
ejpam-4513	60	4	h	h	NOUN
ejpam-4513	60	5	be	be	VERB
ejpam-4513	60	6	two	two	NUM
ejpam-4513	60	7	simple	simple	ADJ
ejpam-4513	60	8	connected	connected	ADJ
ejpam-4513	60	9	graphs	graph	NOUN
ejpam-4513	60	10	,	,	PUNCT
ejpam-4513	60	11	then	then	ADV
ejpam-4513	60	12	zg3[ψ	zg3[ψ	PROPN
ejpam-4513	60	13	]	]	X
ejpam-4513	60	14	≤	≤	ADV
ejpam-4513	61	1	2e1|2−	2e1|2−	NUM
ejpam-4513	61	2	2∆g	2∆g	NUM
ejpam-4513	61	3	−∆gv2|+	−∆gv2|+	ADJ
ejpam-4513	61	4	2v2e1|∆g	2v2e1|∆g	NUM
ejpam-4513	61	5	+	+	CCONJ
ejpam-4513	61	6	2−	2−	NUM
ejpam-4513	61	7	2∆g	2∆g	NOUN
ejpam-4513	61	8	−	−	NOUN
ejpam-4513	61	9	v2∆g|	v2∆g|	PROPN
ejpam-4513	61	10	and	and	CCONJ
ejpam-4513	61	11	zg3[ψ	zg3[ψ	PROPN
ejpam-4513	61	12	]	]	X
ejpam-4513	61	13	≥	≥	NUM
ejpam-4513	61	14	2e1|2−	2e1|2−	NUM
ejpam-4513	61	15	2δg	2δg	NOUN
ejpam-4513	61	16	−	−	PROPN
ejpam-4513	62	1	δgv2|+	δgv2|+	NOUN
ejpam-4513	62	2	2v2e1|δg	2v2e1|δg	NUM
ejpam-4513	62	3	+	+	CCONJ
ejpam-4513	62	4	2−	2−	NUM
ejpam-4513	62	5	2δg	2δg	NOUN
ejpam-4513	62	6	−	−	ADP
ejpam-4513	62	7	v2δg|	v2δg|	PROPN
ejpam-4513	62	8	.	.	PUNCT
ejpam-4513	63	1	proof	proof	NOUN
ejpam-4513	63	2	.	.	PUNCT
ejpam-4513	64	1	using	use	VERB
ejpam-4513	64	2	table	table	NOUN
ejpam-4513	64	3	1	1	NUM
ejpam-4513	64	4	and	and	CCONJ
ejpam-4513	64	5	the	the	DET
ejpam-4513	64	6	definition	definition	NOUN
ejpam-4513	64	7	of	of	ADP
ejpam-4513	64	8	third	third	ADJ
ejpam-4513	64	9	zagreb	zagreb	PROPN
ejpam-4513	64	10	index	index	PROPN
ejpam-4513	64	11	,	,	PUNCT
ejpam-4513	64	12	we	we	PRON
ejpam-4513	64	13	have	have	VERB
ejpam-4513	64	14	the	the	DET
ejpam-4513	64	15	following	follow	VERB
ejpam-4513	64	16	zg3(ψ	zg3(ψ	PROPN
ejpam-4513	64	17	)	)	PUNCT
ejpam-4513	65	1	=	=	SYM
ejpam-4513	65	2	∑	∑	PUNCT
ejpam-4513	65	3	uv∈e(g	uv∈e(g	NUM
ejpam-4513	65	4	)	)	PUNCT
ejpam-4513	65	5	|du	|du	NUM
ejpam-4513	65	6	−	−	NOUN
ejpam-4513	65	7	dv|	dv|	NOUN
ejpam-4513	65	8	=	=	SYM
ejpam-4513	65	9	e1|dg(2	e1|dg(2	NOUN
ejpam-4513	65	10	+	+	CCONJ
ejpam-4513	65	11	v2)−	v2)−	X
ejpam-4513	65	12	dg(2	dg(2	NOUN
ejpam-4513	65	13	+	+	NUM
ejpam-4513	65	14	v2)|+	v2)|+	VERB
ejpam-4513	65	15	2e1|2−	2e1|2−	NUM
ejpam-4513	65	16	dg(2	dg(2	NOUN
ejpam-4513	65	17	+	+	NUM
ejpam-4513	65	18	v2)|+	v2)|+	X
ejpam-4513	65	19	e1e2|(dh	e1e2|(dh	NUM
ejpam-4513	65	20	+	+	SYM
ejpam-4513	65	21	2)−	2)−	NUM
ejpam-4513	65	22	(	(	PUNCT
ejpam-4513	65	23	dh	dh	NOUN
ejpam-4513	66	1	+	+	CCONJ
ejpam-4513	66	2	2)|	2)|	NUM
ejpam-4513	67	1	+	+	CCONJ
ejpam-4513	67	2	2v2e1|(dh	2v2e1|(dh	NUM
ejpam-4513	67	3	+	+	NUM
ejpam-4513	67	4	2)−	2)−	NUM
ejpam-4513	67	5	dg(2	dg(2	PROPN
ejpam-4513	67	6	+	+	NOUN
ejpam-4513	67	7	v2)|	v2)|	NOUN
ejpam-4513	67	8	=	=	SYM
ejpam-4513	67	9	e1|0|+	e1|0|+	NOUN
ejpam-4513	68	1	2e1|2−	2e1|2−	NUM
ejpam-4513	68	2	2dg	2dg	NOUN
ejpam-4513	68	3	+	+	X
ejpam-4513	68	4	dgv2|+	dgv2|+	ADJ
ejpam-4513	68	5	e1e2|0|+	e1e2|0|+	NOUN
ejpam-4513	68	6	2v2e1|dh	2v2e1|dh	NUM
ejpam-4513	68	7	+	+	CCONJ
ejpam-4513	68	8	2−	2−	NUM
ejpam-4513	68	9	2dg	2dg	NOUN
ejpam-4513	68	10	+	+	CCONJ
ejpam-4513	68	11	dgv2|	dgv2|	NOUN
ejpam-4513	68	12	=	=	SYM
ejpam-4513	69	1	2e1|2−	2e1|2−	NUM
ejpam-4513	69	2	2dg	2dg	NOUN
ejpam-4513	69	3	−	−	PROPN
ejpam-4513	70	1	dgv2|+	dgv2|+	NOUN
ejpam-4513	70	2	2v2e1|dg	2v2e1|dg	NUM
ejpam-4513	71	1	+	+	CCONJ
ejpam-4513	71	2	2−	2−	NUM
ejpam-4513	71	3	2dg	2dg	NOUN
ejpam-4513	71	4	−	−	PROPN
ejpam-4513	71	5	v2dg|	v2dg|	PROPN
ejpam-4513	71	6	z3[ψ	z3[ψ	NOUN
ejpam-4513	71	7	]	]	PUNCT
ejpam-4513	71	8	≤	≤	NUM
ejpam-4513	71	9	2e1|2−	2e1|2−	NUM
ejpam-4513	71	10	2∆g	2∆g	NUM
ejpam-4513	71	11	−∆gv2|+	−∆gv2|+	ADJ
ejpam-4513	71	12	2v2e1|∆g	2v2e1|∆g	NUM
ejpam-4513	71	13	+	+	CCONJ
ejpam-4513	71	14	2−	2−	NUM
ejpam-4513	71	15	2∆g	2∆g	NOUN
ejpam-4513	71	16	−	−	NOUN
ejpam-4513	71	17	v2∆g|	v2∆g|	NOUN
ejpam-4513	71	18	.	.	PUNCT
ejpam-4513	72	1	similarly	similarly	ADV
ejpam-4513	72	2	,	,	PUNCT
ejpam-4513	72	3	we	we	PRON
ejpam-4513	72	4	have	have	VERB
ejpam-4513	72	5	z3[ψ	z3[ψ	NOUN
ejpam-4513	72	6	]	]	PUNCT
ejpam-4513	72	7	≥	≥	NOUN
ejpam-4513	72	8	2e1|2−	2e1|2−	NUM
ejpam-4513	72	9	2δg	2δg	NOUN
ejpam-4513	72	10	−	−	PROPN
ejpam-4513	73	1	δgv2|+	δgv2|+	NOUN
ejpam-4513	73	2	2v2e1|δg	2v2e1|δg	NUM
ejpam-4513	73	3	+	+	CCONJ
ejpam-4513	73	4	2−	2−	NUM
ejpam-4513	73	5	2δg	2δg	NOUN
ejpam-4513	73	6	−	−	ADP
ejpam-4513	73	7	v2δg|	v2δg|	PROPN
ejpam-4513	73	8	.	.	PUNCT
ejpam-4513	74	1	theorem	theorem	NOUN
ejpam-4513	74	2	2	2	NUM
ejpam-4513	74	3	.	.	PUNCT
ejpam-4513	75	1	let	let	VERB
ejpam-4513	75	2	g	g	NOUN
ejpam-4513	75	3	and	and	CCONJ
ejpam-4513	75	4	h	h	NOUN
ejpam-4513	75	5	be	be	VERB
ejpam-4513	75	6	two	two	NUM
ejpam-4513	75	7	simple	simple	ADJ
ejpam-4513	75	8	connected	connected	ADJ
ejpam-4513	75	9	graphs	graph	NOUN
ejpam-4513	75	10	.	.	PUNCT
ejpam-4513	76	1	we	we	PRON
ejpam-4513	76	2	have	have	VERB
ejpam-4513	76	3	f	f	PRON
ejpam-4513	76	4	[	[	X
ejpam-4513	76	5	ψ	ψ	X
ejpam-4513	76	6	]	]	X
ejpam-4513	76	7	≤	≤	NUM
ejpam-4513	76	8	e1|2∆2	e1|2∆2	PROPN
ejpam-4513	76	9	g(2+v2	g(2+v2	PROPN
ejpam-4513	76	10	)	)	PUNCT
ejpam-4513	76	11	2|+2e1|4+∆2	2|+2e1|4+∆2	NUM
ejpam-4513	76	12	g(2+v2	g(2+v2	PROPN
ejpam-4513	76	13	)	)	PUNCT
ejpam-4513	77	1	2|+e1e2|2(∆h+2)2|+2v2e1|(∆h+2)2+∆2	2|+e1e2|2(∆h+2)2|+2v2e1|(∆h+2)2+∆2	NUM
ejpam-4513	77	2	g(2+v2	g(2+v2	PROPN
ejpam-4513	77	3	)	)	PUNCT
ejpam-4513	77	4	2	2	NUM
ejpam-4513	77	5	and	and	CCONJ
ejpam-4513	77	6	f	f	X
ejpam-4513	78	1	[	[	X
ejpam-4513	78	2	ψ	ψ	X
ejpam-4513	78	3	]	]	X
ejpam-4513	78	4	≥	≥	NUM
ejpam-4513	78	5	e1|2δ2g(2+v2)2|+2e1|4+δ2g(2+v2)2|+e1e2|2(δh+2)2|+2v2e1|(δh+2)2+δ2g(2+v2	e1|2δ2g(2+v2)2|+2e1|4+δ2g(2+v2)2|+e1e2|2(δh+2)2|+2v2e1|(δh+2)2+δ2g(2+v2	NOUN
ejpam-4513	78	6	)	)	PUNCT
ejpam-4513	78	7	2|	2|	NUM
ejpam-4513	78	8	.	.	PUNCT
ejpam-4513	79	1	proof	proof	NOUN
ejpam-4513	79	2	.	.	PUNCT
ejpam-4513	80	1	using	use	VERB
ejpam-4513	80	2	table	table	NOUN
ejpam-4513	80	3	1	1	NUM
ejpam-4513	80	4	and	and	CCONJ
ejpam-4513	80	5	the	the	DET
ejpam-4513	80	6	definition	definition	NOUN
ejpam-4513	80	7	of	of	ADP
ejpam-4513	80	8	forgotten	forget	VERB
ejpam-4513	80	9	topological	topological	ADJ
ejpam-4513	80	10	index	index	NOUN
ejpam-4513	80	11	,	,	PUNCT
ejpam-4513	80	12	we	we	PRON
ejpam-4513	80	13	have	have	VERB
ejpam-4513	80	14	f	f	X
ejpam-4513	80	15	(	(	PUNCT
ejpam-4513	80	16	ψ	ψ	NOUN
ejpam-4513	80	17	)	)	PUNCT
ejpam-4513	80	18	=	=	SYM
ejpam-4513	80	19	∑	∑	PUNCT
ejpam-4513	80	20	uv∈e(g	uv∈e(g	NUM
ejpam-4513	80	21	)	)	PUNCT
ejpam-4513	80	22	|d2u	|d2u	ADV
ejpam-4513	80	23	+	+	CCONJ
ejpam-4513	80	24	d2v|	d2v|	VERB
ejpam-4513	80	25	=	=	VERB
ejpam-4513	80	26	e1|d2g(2	e1|d2g(2	X
ejpam-4513	80	27	+	+	CCONJ
ejpam-4513	80	28	v2	v2	NOUN
ejpam-4513	80	29	)	)	PUNCT
ejpam-4513	80	30	2	2	NUM
ejpam-4513	81	1	+	+	NUM
ejpam-4513	81	2	d2g(2	d2g(2	PROPN
ejpam-4513	81	3	+	+	CCONJ
ejpam-4513	81	4	v2	v2	NOUN
ejpam-4513	81	5	)	)	PUNCT
ejpam-4513	81	6	2|+	2|+	NUM
ejpam-4513	81	7	2e1|22	2e1|22	NUM
ejpam-4513	81	8	+	+	NUM
ejpam-4513	81	9	d2g(2	d2g(2	PROPN
ejpam-4513	81	10	+	+	CCONJ
ejpam-4513	81	11	v2	v2	NOUN
ejpam-4513	81	12	)	)	PUNCT
ejpam-4513	81	13	2|+	2|+	NUM
ejpam-4513	81	14	e1e2|(dh	e1e2|(dh	NUM
ejpam-4513	81	15	+	+	CCONJ
ejpam-4513	81	16	2)2	2)2	NUM
ejpam-4513	81	17	+	+	CCONJ
ejpam-4513	81	18	(	(	PUNCT
ejpam-4513	81	19	dh	dh	NOUN
ejpam-4513	81	20	+	+	CCONJ
ejpam-4513	81	21	2)2|	2)2|	NUM
ejpam-4513	81	22	dafik	dafik	VERB
ejpam-4513	81	23	et	et	PROPN
ejpam-4513	81	24	al	al	PROPN
ejpam-4513	81	25	.	.	PUNCT
ejpam-4513	81	26	/	/	SYM
ejpam-4513	81	27	eur	eur	PROPN
ejpam-4513	81	28	.	.	PUNCT
ejpam-4513	82	1	j.	j.	PROPN
ejpam-4513	82	2	pure	pure	PROPN
ejpam-4513	82	3	appl	appl	PROPN
ejpam-4513	82	4	.	.	PROPN
ejpam-4513	82	5	math	math	PROPN
ejpam-4513	82	6	,	,	PUNCT
ejpam-4513	82	7	16	16	NUM
ejpam-4513	82	8	(	(	PUNCT
ejpam-4513	82	9	2	2	NUM
ejpam-4513	82	10	)	)	PUNCT
ejpam-4513	82	11	(	(	PUNCT
ejpam-4513	82	12	2023	2023	NUM
ejpam-4513	82	13	)	)	PUNCT
ejpam-4513	82	14	,	,	PUNCT
ejpam-4513	82	15	1094	1094	NUM
ejpam-4513	82	16	-	-	SYM
ejpam-4513	82	17	1109	1109	NUM
ejpam-4513	82	18	1098	1098	NUM
ejpam-4513	82	19	+	+	SYM
ejpam-4513	82	20	2v2e1|(dh	2v2e1|(dh	NUM
ejpam-4513	83	1	+	+	CCONJ
ejpam-4513	83	2	2)2	2)2	NUM
ejpam-4513	83	3	+	+	NUM
ejpam-4513	83	4	d2g(2	d2g(2	PROPN
ejpam-4513	83	5	+	+	CCONJ
ejpam-4513	83	6	v2	v2	NOUN
ejpam-4513	83	7	)	)	PUNCT
ejpam-4513	83	8	2|	2|	NUM
ejpam-4513	84	1	=	=	SYM
ejpam-4513	84	2	e1|2d2g(2	e1|2d2g(2	PROPN
ejpam-4513	84	3	+	+	CCONJ
ejpam-4513	84	4	v2	v2	NOUN
ejpam-4513	84	5	)	)	PUNCT
ejpam-4513	84	6	2|+	2|+	NUM
ejpam-4513	84	7	2e1|4	2e1|4	NUM
ejpam-4513	84	8	+	+	NUM
ejpam-4513	84	9	d2g(2	d2g(2	PROPN
ejpam-4513	84	10	+	+	CCONJ
ejpam-4513	84	11	v2	v2	NOUN
ejpam-4513	84	12	)	)	PUNCT
ejpam-4513	84	13	2|+	2|+	NUM
ejpam-4513	84	14	e1e2|2(dh	e1e2|2(dh	VERB
ejpam-4513	85	1	+	+	CCONJ
ejpam-4513	85	2	2)2|	2)2|	NUM
ejpam-4513	86	1	+	+	CCONJ
ejpam-4513	86	2	2v2e1|(dh	2v2e1|(dh	NUM
ejpam-4513	86	3	+	+	CCONJ
ejpam-4513	86	4	2)2	2)2	NUM
ejpam-4513	86	5	+	+	NUM
ejpam-4513	86	6	d2g(2	d2g(2	PROPN
ejpam-4513	86	7	+	+	CCONJ
ejpam-4513	86	8	v2	v2	NOUN
ejpam-4513	86	9	)	)	PUNCT
ejpam-4513	87	1	2|	2|	NUM
ejpam-4513	87	2	f	f	X
ejpam-4513	87	3	(	(	PUNCT
ejpam-4513	87	4	ψ	ψ	NOUN
ejpam-4513	87	5	)	)	PUNCT
ejpam-4513	87	6	≤	≤	NOUN
ejpam-4513	87	7	e1|2∆2	e1|2∆2	PROPN
ejpam-4513	87	8	g(2	g(2	PROPN
ejpam-4513	87	9	+	+	CCONJ
ejpam-4513	87	10	v2	v2	PROPN
ejpam-4513	87	11	)	)	PUNCT
ejpam-4513	87	12	2|+	2|+	NUM
ejpam-4513	87	13	2e1|4	2e1|4	NUM
ejpam-4513	88	1	+	+	CCONJ
ejpam-4513	88	2	∆2	∆2	PROPN
ejpam-4513	88	3	g(2	g(2	PROPN
ejpam-4513	88	4	+	+	CCONJ
ejpam-4513	88	5	v2	v2	PROPN
ejpam-4513	88	6	)	)	PUNCT
ejpam-4513	88	7	2|+	2|+	NUM
ejpam-4513	88	8	e1e2|2(∆h	e1e2|2(∆h	NOUN
ejpam-4513	88	9	+	+	NUM
ejpam-4513	88	10	2)2|	2)2|	NUM
ejpam-4513	89	1	+	+	CCONJ
ejpam-4513	89	2	2v2e1|(∆h	2v2e1|(∆h	NUM
ejpam-4513	89	3	+	+	CCONJ
ejpam-4513	89	4	2)2	2)2	NUM
ejpam-4513	89	5	+	+	ADJ
ejpam-4513	89	6	∆2	∆2	PROPN
ejpam-4513	89	7	g(2	g(2	PROPN
ejpam-4513	89	8	+	+	SYM
ejpam-4513	89	9	v2	v2	PROPN
ejpam-4513	89	10	)	)	PUNCT
ejpam-4513	89	11	2|	2|	NUM
ejpam-4513	89	12	similarly	similarly	ADV
ejpam-4513	89	13	,	,	PUNCT
ejpam-4513	89	14	f	f	PROPN
ejpam-4513	90	1	[	[	X
ejpam-4513	90	2	ψ	ψ	X
ejpam-4513	90	3	]	]	X
ejpam-4513	90	4	≥	≥	NUM
ejpam-4513	90	5	e1|2δ2g(2+v2)2|+2e1|4+δ2g(2+v2)2|+e1e2|2(δh+2)2|+2v2e1|(δh+2)2+δ2g(2+v2	e1|2δ2g(2+v2)2|+2e1|4+δ2g(2+v2)2|+e1e2|2(δh+2)2|+2v2e1|(δh+2)2+δ2g(2+v2	NOUN
ejpam-4513	90	6	)	)	PUNCT
ejpam-4513	90	7	2|	2|	NUM
ejpam-4513	90	8	.	.	PUNCT
ejpam-4513	90	9	theorem	theorem	NOUN
ejpam-4513	90	10	3	3	X
ejpam-4513	90	11	.	.	PUNCT
ejpam-4513	91	1	let	let	VERB
ejpam-4513	91	2	g	g	NOUN
ejpam-4513	91	3	and	and	CCONJ
ejpam-4513	91	4	h	h	NOUN
ejpam-4513	91	5	be	be	VERB
ejpam-4513	91	6	two	two	NUM
ejpam-4513	91	7	simple	simple	ADJ
ejpam-4513	91	8	connected	connected	ADJ
ejpam-4513	91	9	graphs	graph	NOUN
ejpam-4513	91	10	,	,	PUNCT
ejpam-4513	91	11	then	then	ADV
ejpam-4513	91	12	go[ψ	go[ψ	PROPN
ejpam-4513	91	13	]	]	PUNCT
ejpam-4513	91	14	≤	≤	NUM
ejpam-4513	92	1	e1[4∆g	e1[4∆g	PRON
ejpam-4513	93	1	+	+	X
ejpam-4513	93	2	2v2∆g	2v2∆g	NUM
ejpam-4513	93	3	+	+	PROPN
ejpam-4513	93	4	∆2	∆2	PROPN
ejpam-4513	93	5	g(2	g(2	PROPN
ejpam-4513	93	6	+	+	CCONJ
ejpam-4513	93	7	v2	v2	PROPN
ejpam-4513	93	8	)	)	PUNCT
ejpam-4513	93	9	2	2	NUM
ejpam-4513	93	10	]	]	PUNCT
ejpam-4513	93	11	+	+	NUM
ejpam-4513	93	12	2e1[6∆g	2e1[6∆g	NUM
ejpam-4513	94	1	+	+	SYM
ejpam-4513	94	2	3v2∆g	3v2∆g	NUM
ejpam-4513	94	3	+	+	CCONJ
ejpam-4513	94	4	2	2	NUM
ejpam-4513	94	5	]	]	PUNCT
ejpam-4513	94	6	+	+	CCONJ
ejpam-4513	94	7	e1e2[2∆h	e1e2[2∆h	NOUN
ejpam-4513	94	8	+	+	CCONJ
ejpam-4513	94	9	4	4	NUM
ejpam-4513	94	10	+	+	CCONJ
ejpam-4513	94	11	(	(	PUNCT
ejpam-4513	94	12	∆h	∆h	PROPN
ejpam-4513	94	13	+	+	NUM
ejpam-4513	94	14	2)2	2)2	NUM
ejpam-4513	94	15	]	]	X
ejpam-4513	94	16	+	+	CCONJ
ejpam-4513	95	1	2v2e1[2∆g	2v2e1[2∆g	PROPN
ejpam-4513	95	2	+	+	NOUN
ejpam-4513	95	3	∆h	∆h	PROPN
ejpam-4513	95	4	+	+	NOUN
ejpam-4513	95	5	∆gv2	∆gv2	PROPN
ejpam-4513	95	6	+	+	CCONJ
ejpam-4513	95	7	2	2	NUM
ejpam-4513	95	8	+	+	NOUN
ejpam-4513	95	9	∆g(∆h	∆g(∆h	ADJ
ejpam-4513	95	10	+	+	CCONJ
ejpam-4513	95	11	2)(2∆g	2)(2∆g	NUM
ejpam-4513	95	12	+	+	CCONJ
ejpam-4513	95	13	v2	v2	PROPN
ejpam-4513	95	14	)	)	PUNCT
ejpam-4513	95	15	]	]	PUNCT
ejpam-4513	95	16	and	and	CCONJ
ejpam-4513	95	17	go[ψ	go[ψ	PROPN
ejpam-4513	95	18	]	]	X
ejpam-4513	95	19	≥	≥	NOUN
ejpam-4513	95	20	e1[4δg	e1[4δg	X
ejpam-4513	95	21	+	+	NOUN
ejpam-4513	95	22	2v2δg	2v2δg	NUM
ejpam-4513	95	23	+	+	CCONJ
ejpam-4513	95	24	δ2g(2	δ2g(2	PROPN
ejpam-4513	95	25	+	+	CCONJ
ejpam-4513	95	26	v2	v2	PROPN
ejpam-4513	95	27	)	)	PUNCT
ejpam-4513	95	28	2	2	NUM
ejpam-4513	95	29	]	]	PUNCT
ejpam-4513	95	30	+	+	CCONJ
ejpam-4513	95	31	2e1[6δg	2e1[6δg	ADJ
ejpam-4513	95	32	+	+	CCONJ
ejpam-4513	95	33	3v2δg	3v2δg	NUM
ejpam-4513	95	34	+	+	CCONJ
ejpam-4513	95	35	2	2	NUM
ejpam-4513	95	36	]	]	PUNCT
ejpam-4513	95	37	+	+	NUM
ejpam-4513	95	38	e1e2[2δh	e1e2[2δh	X
ejpam-4513	95	39	+	+	CCONJ
ejpam-4513	95	40	4	4	NUM
ejpam-4513	95	41	+	+	CCONJ
ejpam-4513	95	42	(	(	PUNCT
ejpam-4513	95	43	δh	δh	ADP
ejpam-4513	95	44	+	+	X
ejpam-4513	95	45	2)2	2)2	NUM
ejpam-4513	95	46	]	]	X
ejpam-4513	95	47	+	+	CCONJ
ejpam-4513	95	48	2v2e1[2δg	2v2e1[2δg	NOUN
ejpam-4513	95	49	+	+	CCONJ
ejpam-4513	95	50	δh	δh	X
ejpam-4513	95	51	+	+	CCONJ
ejpam-4513	95	52	δgv2	δgv2	X
ejpam-4513	95	53	+	+	CCONJ
ejpam-4513	95	54	2	2	NUM
ejpam-4513	95	55	+	+	NUM
ejpam-4513	95	56	δg(δh	δg(δh	NOUN
ejpam-4513	95	57	+	+	CCONJ
ejpam-4513	95	58	2)(2δg	2)(2δg	NUM
ejpam-4513	95	59	+	+	CCONJ
ejpam-4513	95	60	v2	v2	PROPN
ejpam-4513	95	61	)	)	PUNCT
ejpam-4513	95	62	]	]	PUNCT
ejpam-4513	95	63	.	.	PUNCT
ejpam-4513	96	1	proof	proof	NOUN
ejpam-4513	96	2	.	.	PUNCT
ejpam-4513	97	1	using	use	VERB
ejpam-4513	97	2	table	table	NOUN
ejpam-4513	97	3	1	1	NUM
ejpam-4513	97	4	and	and	CCONJ
ejpam-4513	97	5	definition	definition	NOUN
ejpam-4513	97	6	of	of	ADP
ejpam-4513	97	7	gourava	gourava	NOUN
ejpam-4513	97	8	index	index	PROPN
ejpam-4513	97	9	,	,	PUNCT
ejpam-4513	97	10	we	we	PRON
ejpam-4513	97	11	have	have	VERB
ejpam-4513	97	12	go(ψ	go(ψ	NOUN
ejpam-4513	97	13	)	)	PUNCT
ejpam-4513	98	1	=	=	SYM
ejpam-4513	98	2	∑	∑	PUNCT
ejpam-4513	98	3	uv∈e(g	uv∈e(g	NUM
ejpam-4513	98	4	)	)	PUNCT
ejpam-4513	99	1	[	[	X
ejpam-4513	99	2	du	du	X
ejpam-4513	99	3	+	+	NUM
ejpam-4513	99	4	dv	dv	PROPN
ejpam-4513	99	5	+	+	CCONJ
ejpam-4513	99	6	dudv	dudv	ADV
ejpam-4513	99	7	]	]	X
ejpam-4513	99	8	=	=	SYM
ejpam-4513	99	9	e1[dg(2	e1[dg(2	PROPN
ejpam-4513	99	10	+	+	NOUN
ejpam-4513	99	11	v2	v2	NOUN
ejpam-4513	99	12	)	)	PUNCT
ejpam-4513	100	1	+	+	CCONJ
ejpam-4513	100	2	dg(2	dg(2	PROPN
ejpam-4513	100	3	+	+	SYM
ejpam-4513	100	4	v2	v2	PROPN
ejpam-4513	100	5	)	)	PUNCT
ejpam-4513	101	1	+	+	NUM
ejpam-4513	101	2	d2g(2	d2g(2	PROPN
ejpam-4513	101	3	+	+	CCONJ
ejpam-4513	101	4	v2	v2	NOUN
ejpam-4513	101	5	)	)	PUNCT
ejpam-4513	101	6	2	2	NUM
ejpam-4513	101	7	]	]	PUNCT
ejpam-4513	101	8	+	+	NUM
ejpam-4513	101	9	2e1[2	2e1[2	NUM
ejpam-4513	101	10	+	+	NUM
ejpam-4513	101	11	dg(2	dg(2	NOUN
ejpam-4513	101	12	+	+	CCONJ
ejpam-4513	101	13	v2	v2	PROPN
ejpam-4513	101	14	)	)	PUNCT
ejpam-4513	101	15	+	+	CCONJ
ejpam-4513	101	16	2dg(2	2dg(2	NUM
ejpam-4513	101	17	+	+	SYM
ejpam-4513	101	18	v2	v2	PROPN
ejpam-4513	101	19	)	)	PUNCT
ejpam-4513	101	20	]	]	PUNCT
ejpam-4513	102	1	+	+	CCONJ
ejpam-4513	102	2	e1e2[(dh	e1e2[(dh	ADJ
ejpam-4513	102	3	+	+	CCONJ
ejpam-4513	102	4	2	2	NUM
ejpam-4513	102	5	)	)	PUNCT
ejpam-4513	102	6	+	+	CCONJ
ejpam-4513	102	7	(	(	PUNCT
ejpam-4513	102	8	dh	dh	NOUN
ejpam-4513	102	9	+	+	NOUN
ejpam-4513	102	10	2	2	NUM
ejpam-4513	102	11	)	)	PUNCT
ejpam-4513	102	12	+	+	CCONJ
ejpam-4513	102	13	(	(	PUNCT
ejpam-4513	102	14	dh	dh	NOUN
ejpam-4513	102	15	+	+	CCONJ
ejpam-4513	102	16	2)2	2)2	NUM
ejpam-4513	102	17	]	]	X
ejpam-4513	102	18	+	+	CCONJ
ejpam-4513	102	19	2v2e1[(dh	2v2e1[(dh	NUM
ejpam-4513	102	20	+	+	NOUN
ejpam-4513	102	21	2	2	NUM
ejpam-4513	102	22	)	)	PUNCT
ejpam-4513	103	1	+	+	NUM
ejpam-4513	103	2	dg(2	dg(2	PROPN
ejpam-4513	103	3	+	+	CCONJ
ejpam-4513	103	4	v2	v2	NOUN
ejpam-4513	103	5	)	)	PUNCT
ejpam-4513	104	1	+	+	CCONJ
ejpam-4513	104	2	dg(dh	dg(dh	ADJ
ejpam-4513	104	3	+	+	CCONJ
ejpam-4513	104	4	2)(2dg	2)(2dg	NUM
ejpam-4513	104	5	+	+	NUM
ejpam-4513	104	6	v2	v2	NOUN
ejpam-4513	104	7	)	)	PUNCT
ejpam-4513	104	8	]	]	PUNCT
ejpam-4513	104	9	go(ψ	go(ψ	NOUN
ejpam-4513	104	10	)	)	PUNCT
ejpam-4513	104	11	≤	≤	NOUN
ejpam-4513	105	1	e1[4∆g	e1[4∆g	PRON
ejpam-4513	106	1	+	+	X
ejpam-4513	106	2	2v2∆g	2v2∆g	NUM
ejpam-4513	106	3	+	+	PROPN
ejpam-4513	106	4	∆2	∆2	PROPN
ejpam-4513	106	5	g(2	g(2	PROPN
ejpam-4513	106	6	+	+	CCONJ
ejpam-4513	106	7	v2	v2	PROPN
ejpam-4513	106	8	)	)	PUNCT
ejpam-4513	106	9	2	2	NUM
ejpam-4513	106	10	]	]	PUNCT
ejpam-4513	106	11	+	+	NUM
ejpam-4513	106	12	2e1[6∆g	2e1[6∆g	NUM
ejpam-4513	107	1	+	+	SYM
ejpam-4513	107	2	3v2∆g	3v2∆g	NUM
ejpam-4513	107	3	+	+	CCONJ
ejpam-4513	107	4	2	2	NUM
ejpam-4513	107	5	]	]	PUNCT
ejpam-4513	107	6	+	+	CCONJ
ejpam-4513	107	7	e1e2[2∆h	e1e2[2∆h	NOUN
ejpam-4513	107	8	+	+	CCONJ
ejpam-4513	107	9	4	4	NUM
ejpam-4513	107	10	+	+	CCONJ
ejpam-4513	107	11	(	(	PUNCT
ejpam-4513	107	12	∆h	∆h	PROPN
ejpam-4513	107	13	+	+	NUM
ejpam-4513	107	14	2)2	2)2	NUM
ejpam-4513	107	15	]	]	X
ejpam-4513	107	16	+	+	CCONJ
ejpam-4513	108	1	2v2e1[2∆g	2v2e1[2∆g	PROPN
ejpam-4513	108	2	+	+	NOUN
ejpam-4513	108	3	∆h	∆h	PROPN
ejpam-4513	108	4	+	+	NOUN
ejpam-4513	108	5	∆gv2	∆gv2	PROPN
ejpam-4513	108	6	+	+	CCONJ
ejpam-4513	108	7	2	2	NUM
ejpam-4513	108	8	+	+	NOUN
ejpam-4513	108	9	∆g(∆h	∆g(∆h	ADJ
ejpam-4513	108	10	+	+	CCONJ
ejpam-4513	108	11	2)(2∆g	2)(2∆g	NUM
ejpam-4513	108	12	+	+	CCONJ
ejpam-4513	108	13	v2	v2	NOUN
ejpam-4513	108	14	)	)	PUNCT
ejpam-4513	108	15	]	]	PUNCT
ejpam-4513	108	16	.	.	PUNCT
ejpam-4513	109	1	similarly	similarly	ADV
ejpam-4513	109	2	,	,	PUNCT
ejpam-4513	109	3	go[ψ	go[ψ	PROPN
ejpam-4513	109	4	]	]	X
ejpam-4513	109	5	≥	≥	NOUN
ejpam-4513	109	6	e1[4δg	e1[4δg	X
ejpam-4513	109	7	+	+	NOUN
ejpam-4513	109	8	2v2δg	2v2δg	NUM
ejpam-4513	109	9	+	+	CCONJ
ejpam-4513	109	10	δ2g(2	δ2g(2	PROPN
ejpam-4513	109	11	+	+	CCONJ
ejpam-4513	109	12	v2	v2	PROPN
ejpam-4513	109	13	)	)	PUNCT
ejpam-4513	109	14	2	2	NUM
ejpam-4513	109	15	]	]	PUNCT
ejpam-4513	110	1	+	+	CCONJ
ejpam-4513	110	2	2e1[6δg	2e1[6δg	ADJ
ejpam-4513	110	3	+	+	CCONJ
ejpam-4513	110	4	3v2δg	3v2δg	NUM
ejpam-4513	110	5	+	+	CCONJ
ejpam-4513	110	6	2	2	NUM
ejpam-4513	110	7	]	]	PUNCT
ejpam-4513	110	8	+	+	NUM
ejpam-4513	110	9	e1e2[2δh	e1e2[2δh	X
ejpam-4513	111	1	+	+	CCONJ
ejpam-4513	111	2	4	4	NUM
ejpam-4513	111	3	+	+	CCONJ
ejpam-4513	111	4	(	(	PUNCT
ejpam-4513	111	5	δh	δh	ADP
ejpam-4513	111	6	+	+	X
ejpam-4513	111	7	2)2	2)2	NUM
ejpam-4513	111	8	]	]	X
ejpam-4513	111	9	+	+	CCONJ
ejpam-4513	111	10	2v2e1[2δg	2v2e1[2δg	NOUN
ejpam-4513	111	11	+	+	CCONJ
ejpam-4513	111	12	δh	δh	X
ejpam-4513	111	13	+	+	CCONJ
ejpam-4513	111	14	δgv2	δgv2	X
ejpam-4513	111	15	+	+	CCONJ
ejpam-4513	111	16	2	2	NUM
ejpam-4513	111	17	+	+	NUM
ejpam-4513	111	18	δg(δh	δg(δh	NOUN
ejpam-4513	111	19	+	+	CCONJ
ejpam-4513	111	20	2)(2δg	2)(2δg	NUM
ejpam-4513	111	21	+	+	CCONJ
ejpam-4513	111	22	v2	v2	PROPN
ejpam-4513	111	23	)	)	PUNCT
ejpam-4513	111	24	]	]	PUNCT
ejpam-4513	111	25	.	.	PUNCT
ejpam-4513	112	1	theorem	theorem	ADJ
ejpam-4513	112	2	4	4	NUM
ejpam-4513	112	3	.	.	PUNCT
ejpam-4513	113	1	let	let	VERB
ejpam-4513	113	2	g	g	NOUN
ejpam-4513	113	3	and	and	CCONJ
ejpam-4513	113	4	h	h	NOUN
ejpam-4513	113	5	be	be	VERB
ejpam-4513	113	6	two	two	NUM
ejpam-4513	113	7	simple	simple	ADJ
ejpam-4513	113	8	connected	connected	ADJ
ejpam-4513	113	9	graphs	graph	NOUN
ejpam-4513	113	10	,	,	PUNCT
ejpam-4513	113	11	then	then	ADV
ejpam-4513	113	12	m2[ψ	m2[ψ	PROPN
ejpam-4513	113	13	]	]	PUNCT
ejpam-4513	113	14	≤	≤	NUM
ejpam-4513	113	15	e1[∆	e1[∆	PROPN
ejpam-4513	113	16	2	2	NUM
ejpam-4513	113	17	g(2	g(2	PROPN
ejpam-4513	113	18	+	+	X
ejpam-4513	113	19	v2	v2	NOUN
ejpam-4513	113	20	)	)	PUNCT
ejpam-4513	114	1	2]+	2]+	NOUN
ejpam-4513	114	2	4e1[∆g(2	4e1[∆g(2	NUM
ejpam-4513	114	3	+	+	CCONJ
ejpam-4513	114	4	v2)]+	v2)]+	NUM
ejpam-4513	114	5	e1e2[(∆h	e1e2[(∆h	PROPN
ejpam-4513	114	6	+2)2]+	+2)2]+	PROPN
ejpam-4513	114	7	2v2e1[(∆h	2v2e1[(∆h	NOUN
ejpam-4513	114	8	+2)∆g(2	+2)∆g(2	NOUN
ejpam-4513	114	9	+	+	CCONJ
ejpam-4513	114	10	v2	v2	NOUN
ejpam-4513	114	11	)	)	PUNCT
ejpam-4513	114	12	]	]	PUNCT
ejpam-4513	114	13	and	and	CCONJ
ejpam-4513	114	14	m2[ψ	m2[ψ	PROPN
ejpam-4513	114	15	]	]	X
ejpam-4513	114	16	≥	≥	PROPN
ejpam-4513	114	17	e1[δ	e1[δ	PROPN
ejpam-4513	114	18	2	2	NUM
ejpam-4513	114	19	g(2	g(2	PROPN
ejpam-4513	114	20	+	+	CCONJ
ejpam-4513	114	21	v2	v2	NOUN
ejpam-4513	114	22	)	)	PUNCT
ejpam-4513	114	23	2	2	NUM
ejpam-4513	114	24	]	]	PUNCT
ejpam-4513	114	25	+	+	NUM
ejpam-4513	114	26	4e1[δg(2	4e1[δg(2	NUM
ejpam-4513	114	27	+	+	CCONJ
ejpam-4513	114	28	v2	v2	NOUN
ejpam-4513	114	29	)	)	PUNCT
ejpam-4513	114	30	]	]	PUNCT
ejpam-4513	115	1	+	+	CCONJ
ejpam-4513	115	2	e1e2[(δh	e1e2[(δh	X
ejpam-4513	115	3	+	+	CCONJ
ejpam-4513	115	4	2)2	2)2	NUM
ejpam-4513	115	5	]	]	X
ejpam-4513	115	6	+	+	CCONJ
ejpam-4513	115	7	2v2e1[(δh	2v2e1[(δh	NUM
ejpam-4513	115	8	+	+	SYM
ejpam-4513	115	9	2)δg(2	2)δg(2	NUM
ejpam-4513	115	10	+	+	NUM
ejpam-4513	115	11	v2	v2	PROPN
ejpam-4513	115	12	)	)	PUNCT
ejpam-4513	115	13	]	]	PUNCT
ejpam-4513	115	14	.	.	PUNCT
ejpam-4513	116	1	dafik	dafik	VERB
ejpam-4513	116	2	et	et	PROPN
ejpam-4513	116	3	al	al	PROPN
ejpam-4513	116	4	.	.	PUNCT
ejpam-4513	116	5	/	/	SYM
ejpam-4513	116	6	eur	eur	PROPN
ejpam-4513	116	7	.	.	PUNCT
ejpam-4513	117	1	j.	j.	PROPN
ejpam-4513	117	2	pure	pure	PROPN
ejpam-4513	117	3	appl	appl	PROPN
ejpam-4513	117	4	.	.	PROPN
ejpam-4513	117	5	math	math	PROPN
ejpam-4513	117	6	,	,	PUNCT
ejpam-4513	117	7	16	16	NUM
ejpam-4513	117	8	(	(	PUNCT
ejpam-4513	117	9	2	2	NUM
ejpam-4513	117	10	)	)	PUNCT
ejpam-4513	117	11	(	(	PUNCT
ejpam-4513	117	12	2023	2023	NUM
ejpam-4513	117	13	)	)	PUNCT
ejpam-4513	117	14	,	,	PUNCT
ejpam-4513	117	15	1094	1094	NUM
ejpam-4513	117	16	-	-	SYM
ejpam-4513	117	17	1109	1109	NUM
ejpam-4513	117	18	1099	1099	NUM
ejpam-4513	117	19	proof	proof	NOUN
ejpam-4513	117	20	.	.	PUNCT
ejpam-4513	118	1	using	use	VERB
ejpam-4513	118	2	table	table	NOUN
ejpam-4513	118	3	1	1	NUM
ejpam-4513	118	4	and	and	CCONJ
ejpam-4513	118	5	definition	definition	NOUN
ejpam-4513	118	6	of	of	ADP
ejpam-4513	118	7	second	second	ADJ
ejpam-4513	118	8	zagreb	zagreb	PROPN
ejpam-4513	118	9	index	index	PROPN
ejpam-4513	118	10	,	,	PUNCT
ejpam-4513	118	11	we	we	PRON
ejpam-4513	118	12	have	have	VERB
ejpam-4513	118	13	m2(ψ	m2(ψ	NOUN
ejpam-4513	118	14	)	)	PUNCT
ejpam-4513	118	15	=	=	SYM
ejpam-4513	118	16	∑	∑	PUNCT
ejpam-4513	118	17	uv∈e(g	uv∈e(g	NUM
ejpam-4513	118	18	)	)	PUNCT
ejpam-4513	119	1	[	[	X
ejpam-4513	119	2	dudv	dudv	NOUN
ejpam-4513	119	3	]	]	X
ejpam-4513	119	4	=	=	SYM
ejpam-4513	119	5	e1[(dg(2	e1[(dg(2	NOUN
ejpam-4513	119	6	+	+	CCONJ
ejpam-4513	119	7	v2))(dg(2	v2))(dg(2	NOUN
ejpam-4513	119	8	+	+	CCONJ
ejpam-4513	119	9	v2	v2	NOUN
ejpam-4513	119	10	)	)	PUNCT
ejpam-4513	119	11	)	)	PUNCT
ejpam-4513	119	12	]	]	PUNCT
ejpam-4513	120	1	+	+	CCONJ
ejpam-4513	120	2	2e1[2dg(2	2e1[2dg(2	NUM
ejpam-4513	120	3	+	+	NUM
ejpam-4513	120	4	v2	v2	NOUN
ejpam-4513	120	5	)	)	PUNCT
ejpam-4513	120	6	]	]	PUNCT
ejpam-4513	121	1	+	+	CCONJ
ejpam-4513	121	2	e1e2[(dh	e1e2[(dh	ADJ
ejpam-4513	121	3	+	+	CCONJ
ejpam-4513	121	4	2)(dh	2)(dh	NUM
ejpam-4513	121	5	+	+	NOUN
ejpam-4513	121	6	2	2	NUM
ejpam-4513	121	7	)	)	PUNCT
ejpam-4513	121	8	]	]	PUNCT
ejpam-4513	122	1	+	+	CCONJ
ejpam-4513	123	1	2v2e1[(dh	2v2e1[(dh	NUM
ejpam-4513	123	2	+	+	SYM
ejpam-4513	123	3	2)dg(2	2)dg(2	NUM
ejpam-4513	123	4	+	+	CCONJ
ejpam-4513	123	5	v2	v2	NOUN
ejpam-4513	123	6	)	)	PUNCT
ejpam-4513	123	7	]	]	PUNCT
ejpam-4513	123	8	=	=	SYM
ejpam-4513	123	9	e1[d	e1[d	PROPN
ejpam-4513	123	10	2	2	NUM
ejpam-4513	123	11	g(2	g(2	PROPN
ejpam-4513	123	12	+	+	CCONJ
ejpam-4513	123	13	v2	v2	NOUN
ejpam-4513	123	14	)	)	PUNCT
ejpam-4513	123	15	2	2	NUM
ejpam-4513	123	16	]	]	PUNCT
ejpam-4513	123	17	+	+	CCONJ
ejpam-4513	123	18	4e1[dg(2	4e1[dg(2	NUM
ejpam-4513	123	19	+	+	CCONJ
ejpam-4513	123	20	v2	v2	NOUN
ejpam-4513	123	21	)	)	PUNCT
ejpam-4513	123	22	]	]	PUNCT
ejpam-4513	124	1	+	+	CCONJ
ejpam-4513	124	2	e1e2[(dh	e1e2[(dh	ADJ
ejpam-4513	124	3	+	+	CCONJ
ejpam-4513	124	4	2)2	2)2	NUM
ejpam-4513	124	5	]	]	X
ejpam-4513	124	6	+	+	CCONJ
ejpam-4513	124	7	2v2e1[(dh	2v2e1[(dh	NUM
ejpam-4513	124	8	+	+	SYM
ejpam-4513	124	9	2)dg(2	2)dg(2	NUM
ejpam-4513	124	10	+	+	CCONJ
ejpam-4513	124	11	v2	v2	NOUN
ejpam-4513	124	12	)	)	PUNCT
ejpam-4513	124	13	]	]	PUNCT
ejpam-4513	124	14	m2[ψ	m2[ψ	PROPN
ejpam-4513	124	15	]	]	PUNCT
ejpam-4513	124	16	≤	≤	NUM
ejpam-4513	125	1	e1[∆	e1[∆	PROPN
ejpam-4513	125	2	2	2	NUM
ejpam-4513	125	3	g(2	g(2	PROPN
ejpam-4513	125	4	+	+	CCONJ
ejpam-4513	125	5	v2	v2	NOUN
ejpam-4513	125	6	)	)	PUNCT
ejpam-4513	125	7	2	2	NUM
ejpam-4513	125	8	]	]	PUNCT
ejpam-4513	125	9	+	+	CCONJ
ejpam-4513	125	10	4e1[∆g(2	4e1[∆g(2	NUM
ejpam-4513	125	11	+	+	NUM
ejpam-4513	125	12	v2	v2	NOUN
ejpam-4513	125	13	)	)	PUNCT
ejpam-4513	125	14	]	]	PUNCT
ejpam-4513	126	1	+	+	CCONJ
ejpam-4513	126	2	e1e2[(∆h	e1e2[(∆h	PROPN
ejpam-4513	126	3	+	+	CCONJ
ejpam-4513	126	4	2)2	2)2	NUM
ejpam-4513	126	5	]	]	X
ejpam-4513	126	6	+	+	NUM
ejpam-4513	126	7	2v2e1[(∆h	2v2e1[(∆h	NOUN
ejpam-4513	126	8	+	+	CCONJ
ejpam-4513	126	9	2)∆g(2	2)∆g(2	NUM
ejpam-4513	126	10	+	+	CCONJ
ejpam-4513	126	11	v2	v2	NOUN
ejpam-4513	126	12	)	)	PUNCT
ejpam-4513	126	13	]	]	PUNCT
ejpam-4513	126	14	.	.	PUNCT
ejpam-4513	127	1	similarly	similarly	ADV
ejpam-4513	127	2	,	,	PUNCT
ejpam-4513	127	3	m2[ψ	m2[ψ	PROPN
ejpam-4513	127	4	]	]	X
ejpam-4513	127	5	≥	≥	NOUN
ejpam-4513	127	6	e1[δ	e1[δ	PROPN
ejpam-4513	127	7	2	2	NUM
ejpam-4513	127	8	g(2+v2	g(2+v2	PROPN
ejpam-4513	127	9	)	)	PUNCT
ejpam-4513	127	10	2]+4e1[δg(2+v2)]+e1e2[(δh	2]+4e1[δg(2+v2)]+e1e2[(δh	PROPN
ejpam-4513	127	11	+2)2]+2v2e1[(δh	+2)2]+2v2e1[(δh	PART
ejpam-4513	127	12	+2)δg(2	+2)δg(2	PROPN
ejpam-4513	127	13	+	+	X
ejpam-4513	127	14	v2	v2	NOUN
ejpam-4513	127	15	)	)	PUNCT
ejpam-4513	127	16	]	]	PUNCT
ejpam-4513	127	17	.	.	PUNCT
ejpam-4513	128	1	theorem	theorem	NOUN
ejpam-4513	128	2	5	5	NUM
ejpam-4513	128	3	.	.	PUNCT
ejpam-4513	129	1	let	let	VERB
ejpam-4513	129	2	g	g	NOUN
ejpam-4513	129	3	and	and	CCONJ
ejpam-4513	129	4	h	h	NOUN
ejpam-4513	129	5	be	be	VERB
ejpam-4513	129	6	two	two	NUM
ejpam-4513	129	7	simple	simple	ADJ
ejpam-4513	129	8	connected	connected	ADJ
ejpam-4513	129	9	graphs	graph	NOUN
ejpam-4513	129	10	,	,	PUNCT
ejpam-4513	129	11	then	then	ADV
ejpam-4513	129	12	qf	qf	PROPN
ejpam-4513	129	13	(	(	PUNCT
ejpam-4513	129	14	ψ	ψ	NOUN
ejpam-4513	129	15	)	)	PUNCT
ejpam-4513	129	16	≤	≤	NOUN
ejpam-4513	129	17	2e1[4−∆2	2e1[4−∆2	NUM
ejpam-4513	129	18	g(2	g(2	PROPN
ejpam-4513	129	19	+	+	CCONJ
ejpam-4513	129	20	v2	v2	NOUN
ejpam-4513	129	21	)	)	PUNCT
ejpam-4513	129	22	2	2	NUM
ejpam-4513	129	23	]	]	PUNCT
ejpam-4513	130	1	+	+	NUM
ejpam-4513	130	2	2v2e1[(∆h	2v2e1[(∆h	NUM
ejpam-4513	130	3	+	+	CCONJ
ejpam-4513	130	4	2)2	2)2	NUM
ejpam-4513	130	5	−∆2	−∆2	NOUN
ejpam-4513	130	6	g(2	g(2	PROPN
ejpam-4513	130	7	+	+	CCONJ
ejpam-4513	130	8	v2	v2	NOUN
ejpam-4513	130	9	)	)	PUNCT
ejpam-4513	130	10	2	2	NUM
ejpam-4513	130	11	]	]	PUNCT
ejpam-4513	130	12	and	and	CCONJ
ejpam-4513	130	13	qf	qf	PROPN
ejpam-4513	130	14	(	(	PUNCT
ejpam-4513	130	15	ψ	ψ	NOUN
ejpam-4513	130	16	)	)	PUNCT
ejpam-4513	130	17	≥	≥	NOUN
ejpam-4513	130	18	2e1[4−	2e1[4−	NUM
ejpam-4513	130	19	δ2g(2	δ2g(2	PROPN
ejpam-4513	131	1	+	+	CCONJ
ejpam-4513	132	1	v2	v2	NOUN
ejpam-4513	132	2	)	)	PUNCT
ejpam-4513	132	3	2	2	NUM
ejpam-4513	132	4	]	]	PUNCT
ejpam-4513	133	1	+	+	CCONJ
ejpam-4513	133	2	2v2e1[(δh	2v2e1[(δh	NUM
ejpam-4513	133	3	+	+	CCONJ
ejpam-4513	133	4	2)2	2)2	NUM
ejpam-4513	133	5	−	−	PROPN
ejpam-4513	133	6	δ2g(2	δ2g(2	PROPN
ejpam-4513	133	7	+	+	CCONJ
ejpam-4513	133	8	v2	v2	PROPN
ejpam-4513	133	9	)	)	PUNCT
ejpam-4513	133	10	2	2	NUM
ejpam-4513	133	11	]	]	PUNCT
ejpam-4513	133	12	.	.	PUNCT
ejpam-4513	134	1	proof	proof	NOUN
ejpam-4513	134	2	.	.	PUNCT
ejpam-4513	135	1	using	use	VERB
ejpam-4513	135	2	table	table	NOUN
ejpam-4513	135	3	1	1	NUM
ejpam-4513	135	4	and	and	CCONJ
ejpam-4513	135	5	definition	definition	NOUN
ejpam-4513	135	6	of	of	ADP
ejpam-4513	135	7	square	square	PROPN
ejpam-4513	135	8	f	f	PROPN
ejpam-4513	135	9	-index	-index	PROPN
ejpam-4513	135	10	,	,	PUNCT
ejpam-4513	135	11	we	we	PRON
ejpam-4513	135	12	have	have	VERB
ejpam-4513	135	13	qf	qf	PROPN
ejpam-4513	136	1	[	[	X
ejpam-4513	136	2	ψ	ψ	X
ejpam-4513	136	3	]	]	X
ejpam-4513	136	4	=	=	PUNCT
ejpam-4513	136	5	∑	∑	PUNCT
ejpam-4513	136	6	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	136	7	]	]	X
ejpam-4513	137	1	[	[	X
ejpam-4513	137	2	d2u	d2u	ADV
ejpam-4513	137	3	−	−	ADP
ejpam-4513	137	4	d2v	d2v	NOUN
ejpam-4513	137	5	]	]	X
ejpam-4513	137	6	2	2	NUM
ejpam-4513	137	7	=	=	SYM
ejpam-4513	137	8	e1[d	e1[d	PROPN
ejpam-4513	137	9	2	2	NUM
ejpam-4513	137	10	g(2	g(2	PROPN
ejpam-4513	137	11	+	+	CCONJ
ejpam-4513	137	12	v2	v2	NOUN
ejpam-4513	137	13	)	)	PUNCT
ejpam-4513	137	14	2	2	NUM
ejpam-4513	137	15	−	−	PROPN
ejpam-4513	137	16	d2g(2	d2g(2	PROPN
ejpam-4513	137	17	+	+	CCONJ
ejpam-4513	137	18	v2	v2	NOUN
ejpam-4513	137	19	)	)	PUNCT
ejpam-4513	137	20	2	2	NUM
ejpam-4513	137	21	]	]	PUNCT
ejpam-4513	137	22	+	+	NUM
ejpam-4513	137	23	2e1[2	2e1[2	NUM
ejpam-4513	137	24	2	2	NUM
ejpam-4513	137	25	−	−	PROPN
ejpam-4513	137	26	d2g(2	d2g(2	PROPN
ejpam-4513	137	27	+	+	CCONJ
ejpam-4513	137	28	v2	v2	NOUN
ejpam-4513	137	29	)	)	PUNCT
ejpam-4513	137	30	2	2	NUM
ejpam-4513	137	31	]	]	PUNCT
ejpam-4513	137	32	+	+	CCONJ
ejpam-4513	137	33	e1e2[(dh	e1e2[(dh	ADJ
ejpam-4513	137	34	+	+	CCONJ
ejpam-4513	137	35	2)2	2)2	NUM
ejpam-4513	137	36	−	−	NOUN
ejpam-4513	137	37	(	(	PUNCT
ejpam-4513	137	38	dh	dh	NOUN
ejpam-4513	137	39	+	+	CCONJ
ejpam-4513	137	40	2)2	2)2	NUM
ejpam-4513	137	41	]	]	X
ejpam-4513	137	42	+	+	CCONJ
ejpam-4513	137	43	2v2e1[(dh	2v2e1[(dh	NUM
ejpam-4513	137	44	+	+	SYM
ejpam-4513	137	45	2)2	2)2	NUM
ejpam-4513	137	46	−	−	PROPN
ejpam-4513	137	47	d2g(2	d2g(2	PROPN
ejpam-4513	137	48	+	+	CCONJ
ejpam-4513	137	49	v2	v2	NOUN
ejpam-4513	137	50	)	)	PUNCT
ejpam-4513	137	51	2	2	NUM
ejpam-4513	137	52	]	]	PUNCT
ejpam-4513	137	53	=	=	SYM
ejpam-4513	137	54	2e1[4−	2e1[4−	NUM
ejpam-4513	137	55	d2g(2	d2g(2	PROPN
ejpam-4513	137	56	+	+	CCONJ
ejpam-4513	137	57	v2	v2	NOUN
ejpam-4513	137	58	)	)	PUNCT
ejpam-4513	137	59	2	2	NUM
ejpam-4513	137	60	]	]	PUNCT
ejpam-4513	137	61	+	+	CCONJ
ejpam-4513	137	62	2v2e1[(dh	2v2e1[(dh	NUM
ejpam-4513	137	63	+	+	SYM
ejpam-4513	137	64	2)2	2)2	NUM
ejpam-4513	137	65	−	−	PROPN
ejpam-4513	137	66	d2g(2	d2g(2	PROPN
ejpam-4513	137	67	+	+	CCONJ
ejpam-4513	137	68	v2	v2	NOUN
ejpam-4513	137	69	)	)	PUNCT
ejpam-4513	137	70	2	2	NUM
ejpam-4513	137	71	]	]	X
ejpam-4513	137	72	qf	qf	X
ejpam-4513	137	73	[	[	X
ejpam-4513	137	74	ψ	ψ	X
ejpam-4513	137	75	]	]	X
ejpam-4513	137	76	≤	≤	NUM
ejpam-4513	137	77	2e1[4−∆2	2e1[4−∆2	NUM
ejpam-4513	137	78	g(2	g(2	PROPN
ejpam-4513	137	79	+	+	CCONJ
ejpam-4513	137	80	v2	v2	NOUN
ejpam-4513	137	81	)	)	PUNCT
ejpam-4513	137	82	2	2	NUM
ejpam-4513	137	83	]	]	PUNCT
ejpam-4513	137	84	+	+	NUM
ejpam-4513	137	85	2v2e1[(∆h	2v2e1[(∆h	NUM
ejpam-4513	137	86	+	+	CCONJ
ejpam-4513	137	87	2)2	2)2	NUM
ejpam-4513	137	88	−∆2	−∆2	NOUN
ejpam-4513	137	89	g(2	g(2	PROPN
ejpam-4513	137	90	+	+	CCONJ
ejpam-4513	137	91	v2	v2	NOUN
ejpam-4513	137	92	)	)	PUNCT
ejpam-4513	137	93	2	2	NUM
ejpam-4513	137	94	]	]	PUNCT
ejpam-4513	137	95	.	.	PUNCT
ejpam-4513	138	1	similarly	similarly	ADV
ejpam-4513	138	2	,	,	PUNCT
ejpam-4513	138	3	qf	qf	PROPN
ejpam-4513	138	4	(	(	PUNCT
ejpam-4513	138	5	ψ	ψ	NOUN
ejpam-4513	138	6	)	)	PUNCT
ejpam-4513	138	7	≥	≥	NOUN
ejpam-4513	138	8	2e1[4−	2e1[4−	NUM
ejpam-4513	138	9	δ2g(2	δ2g(2	PROPN
ejpam-4513	139	1	+	+	CCONJ
ejpam-4513	139	2	v2	v2	NOUN
ejpam-4513	139	3	)	)	PUNCT
ejpam-4513	139	4	2	2	NUM
ejpam-4513	139	5	]	]	PUNCT
ejpam-4513	140	1	+	+	CCONJ
ejpam-4513	140	2	2v2e1[(δh	2v2e1[(δh	NUM
ejpam-4513	140	3	+	+	CCONJ
ejpam-4513	140	4	2)2	2)2	NUM
ejpam-4513	140	5	−	−	PROPN
ejpam-4513	140	6	δ2g(2	δ2g(2	PROPN
ejpam-4513	140	7	+	+	CCONJ
ejpam-4513	140	8	v2	v2	PROPN
ejpam-4513	140	9	)	)	PUNCT
ejpam-4513	140	10	2	2	NUM
ejpam-4513	140	11	]	]	PUNCT
ejpam-4513	140	12	.	.	PUNCT
ejpam-4513	141	1	theorem	theorem	ADJ
ejpam-4513	141	2	6	6	NUM
ejpam-4513	141	3	.	.	PUNCT
ejpam-4513	142	1	let	let	VERB
ejpam-4513	142	2	g	g	NOUN
ejpam-4513	142	3	and	and	CCONJ
ejpam-4513	142	4	h	h	NOUN
ejpam-4513	142	5	be	be	VERB
ejpam-4513	142	6	two	two	NUM
ejpam-4513	142	7	simple	simple	ADJ
ejpam-4513	142	8	connected	connected	ADJ
ejpam-4513	142	9	graphs	graph	NOUN
ejpam-4513	142	10	,	,	PUNCT
ejpam-4513	142	11	then	then	ADV
ejpam-4513	142	12	em1(ψ	em1(ψ	VERB
ejpam-4513	142	13	)	)	PUNCT
ejpam-4513	142	14	≤	≤	NOUN
ejpam-4513	142	15	e1[2∆g(2+v2)−2]2	e1[2∆g(2+v2)−2]2	VERB
ejpam-4513	142	16	+	+	NOUN
ejpam-4513	142	17	2e1[∆g(2+v2	2e1[∆g(2+v2	NUM
ejpam-4513	142	18	)	)	PUNCT
ejpam-4513	142	19	]	]	PUNCT
ejpam-4513	143	1	2+e1e2[2∆h+2]2	2+e1e2[2∆h+2]2	PROPN
ejpam-4513	143	2	+	+	NOUN
ejpam-4513	143	3	2v2e1[∆h+∆g(2+v2	2v2e1[∆h+∆g(2+v2	NUM
ejpam-4513	143	4	)	)	PUNCT
ejpam-4513	143	5	]	]	PUNCT
ejpam-4513	143	6	2	2	NUM
ejpam-4513	143	7	and	and	CCONJ
ejpam-4513	143	8	em1(ψ	em1(ψ	PROPN
ejpam-4513	143	9	)	)	PUNCT
ejpam-4513	143	10	≥	≥	NOUN
ejpam-4513	143	11	e1[2δg(2+v2)−2]2	e1[2δg(2+v2)−2]2	X
ejpam-4513	143	12	+	+	NOUN
ejpam-4513	143	13	2e1[δg(2+v2	2e1[δg(2+v2	NUM
ejpam-4513	143	14	)	)	PUNCT
ejpam-4513	143	15	]	]	PUNCT
ejpam-4513	144	1	2+e1e2[2δh	2+e1e2[2δh	NUM
ejpam-4513	144	2	+2]2	+2]2	VERB
ejpam-4513	144	3	+	+	NOUN
ejpam-4513	144	4	2v2e1[δh	2v2e1[δh	NOUN
ejpam-4513	144	5	+	+	NOUN
ejpam-4513	144	6	δg(2+v2	δg(2+v2	NUM
ejpam-4513	144	7	)	)	PUNCT
ejpam-4513	144	8	]	]	PUNCT
ejpam-4513	144	9	2	2	NUM
ejpam-4513	144	10	proof	proof	NOUN
ejpam-4513	144	11	.	.	PUNCT
ejpam-4513	145	1	using	use	VERB
ejpam-4513	145	2	table	table	NOUN
ejpam-4513	145	3	1	1	NUM
ejpam-4513	145	4	and	and	CCONJ
ejpam-4513	145	5	the	the	DET
ejpam-4513	145	6	definition	definition	NOUN
ejpam-4513	145	7	of	of	ADP
ejpam-4513	145	8	first	first	ADV
ejpam-4513	145	9	reformulated	reformulate	VERB
ejpam-4513	145	10	zagreb	zagreb	PROPN
ejpam-4513	145	11	index	index	PROPN
ejpam-4513	145	12	,	,	PUNCT
ejpam-4513	145	13	we	we	PRON
ejpam-4513	145	14	have	have	VERB
ejpam-4513	145	15	em1[ψ	em1[ψ	NOUN
ejpam-4513	145	16	]	]	PUNCT
ejpam-4513	146	1	=	=	PUNCT
ejpam-4513	146	2	∑	∑	PUNCT
ejpam-4513	146	3	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	146	4	]	]	X
ejpam-4513	147	1	[	[	X
ejpam-4513	147	2	du	du	X
ejpam-4513	147	3	+	+	X
ejpam-4513	147	4	dv	dv	PROPN
ejpam-4513	147	5	−	−	PROPN
ejpam-4513	147	6	2]2	2]2	NUM
ejpam-4513	147	7	=	=	SYM
ejpam-4513	147	8	e1[dg(2	e1[dg(2	PROPN
ejpam-4513	147	9	+	+	NOUN
ejpam-4513	147	10	v2	v2	NOUN
ejpam-4513	147	11	)	)	PUNCT
ejpam-4513	148	1	+	+	CCONJ
ejpam-4513	149	1	dg(2	dg(2	NOUN
ejpam-4513	149	2	+	+	SYM
ejpam-4513	149	3	v2)−	v2)−	NOUN
ejpam-4513	149	4	2]2	2]2	NUM
ejpam-4513	150	1	+	+	CCONJ
ejpam-4513	150	2	2e1[2	2e1[2	NUM
ejpam-4513	150	3	+	+	SYM
ejpam-4513	150	4	dg(2	dg(2	NOUN
ejpam-4513	150	5	+	+	SYM
ejpam-4513	150	6	v2)−	v2)−	ADJ
ejpam-4513	150	7	2]2	2]2	NUM
ejpam-4513	150	8	dafik	dafik	NOUN
ejpam-4513	150	9	et	et	PROPN
ejpam-4513	150	10	al	al	PROPN
ejpam-4513	150	11	.	.	PUNCT
ejpam-4513	150	12	/	/	SYM
ejpam-4513	150	13	eur	eur	PROPN
ejpam-4513	150	14	.	.	PUNCT
ejpam-4513	151	1	j.	j.	PROPN
ejpam-4513	151	2	pure	pure	PROPN
ejpam-4513	151	3	appl	appl	PROPN
ejpam-4513	151	4	.	.	PROPN
ejpam-4513	151	5	math	math	PROPN
ejpam-4513	151	6	,	,	PUNCT
ejpam-4513	151	7	16	16	NUM
ejpam-4513	151	8	(	(	PUNCT
ejpam-4513	151	9	2	2	NUM
ejpam-4513	151	10	)	)	PUNCT
ejpam-4513	151	11	(	(	PUNCT
ejpam-4513	151	12	2023	2023	NUM
ejpam-4513	151	13	)	)	PUNCT
ejpam-4513	151	14	,	,	PUNCT
ejpam-4513	151	15	1094	1094	NUM
ejpam-4513	151	16	-	-	SYM
ejpam-4513	151	17	1109	1109	NUM
ejpam-4513	151	18	1100	1100	NUM
ejpam-4513	151	19	+	+	CCONJ
ejpam-4513	151	20	e1e2[dh	e1e2[dh	X
ejpam-4513	151	21	+	+	CCONJ
ejpam-4513	151	22	2	2	NUM
ejpam-4513	151	23	+	+	NUM
ejpam-4513	151	24	dh	dh	NOUN
ejpam-4513	151	25	+	+	CCONJ
ejpam-4513	151	26	2−	2−	NUM
ejpam-4513	151	27	2]2	2]2	NUM
ejpam-4513	152	1	+	+	CCONJ
ejpam-4513	152	2	2v2e1[dh	2v2e1[dh	NUM
ejpam-4513	152	3	+	+	SYM
ejpam-4513	152	4	2	2	NUM
ejpam-4513	152	5	+	+	SYM
ejpam-4513	152	6	dg(2	dg(2	NOUN
ejpam-4513	152	7	+	+	SYM
ejpam-4513	152	8	v2)−	v2)−	NOUN
ejpam-4513	152	9	2]2	2]2	NUM
ejpam-4513	153	1	+	+	CCONJ
ejpam-4513	153	2	2v2e1[(dh	2v2e1[(dh	NUM
ejpam-4513	153	3	+	+	SYM
ejpam-4513	153	4	2)2	2)2	NUM
ejpam-4513	153	5	−	−	PROPN
ejpam-4513	153	6	d2g(2	d2g(2	PROPN
ejpam-4513	153	7	+	+	CCONJ
ejpam-4513	153	8	v2	v2	NOUN
ejpam-4513	153	9	)	)	PUNCT
ejpam-4513	153	10	2	2	NUM
ejpam-4513	153	11	]	]	SYM
ejpam-4513	153	12	em1(ψ	em1(ψ	PROPN
ejpam-4513	153	13	)	)	PUNCT
ejpam-4513	153	14	≤	≤	PROPN
ejpam-4513	154	1	e1[2∆g(2	e1[2∆g(2	ADP
ejpam-4513	154	2	+	+	CCONJ
ejpam-4513	154	3	v2)−	v2)−	NOUN
ejpam-4513	154	4	2]2	2]2	NUM
ejpam-4513	154	5	+	+	CCONJ
ejpam-4513	154	6	2e1[∆g(2	2e1[∆g(2	NUM
ejpam-4513	154	7	+	+	CCONJ
ejpam-4513	154	8	v2	v2	NOUN
ejpam-4513	154	9	)	)	PUNCT
ejpam-4513	154	10	]	]	PUNCT
ejpam-4513	155	1	2	2	NUM
ejpam-4513	155	2	+	+	CCONJ
ejpam-4513	155	3	e1e2[2∆h	e1e2[2∆h	NOUN
ejpam-4513	155	4	+	+	CCONJ
ejpam-4513	155	5	2]2	2]2	NUM
ejpam-4513	156	1	+	+	CCONJ
ejpam-4513	156	2	2v2e1[∆h	2v2e1[∆h	NUM
ejpam-4513	156	3	+	+	ADJ
ejpam-4513	156	4	∆g(2	∆g(2	PROPN
ejpam-4513	156	5	+	+	X
ejpam-4513	156	6	v2	v2	NOUN
ejpam-4513	156	7	)	)	PUNCT
ejpam-4513	156	8	]	]	PUNCT
ejpam-4513	156	9	2	2	NUM
ejpam-4513	156	10	similarly	similarly	ADV
ejpam-4513	156	11	,	,	PUNCT
ejpam-4513	156	12	em1(ψ	em1(ψ	PROPN
ejpam-4513	156	13	)	)	PUNCT
ejpam-4513	156	14	≥	≥	NOUN
ejpam-4513	156	15	e1[2δg(2	e1[2δg(2	NOUN
ejpam-4513	156	16	+	+	CCONJ
ejpam-4513	156	17	v2)−	v2)−	NOUN
ejpam-4513	156	18	2]2	2]2	NUM
ejpam-4513	157	1	+	+	CCONJ
ejpam-4513	157	2	2e1[δg(2	2e1[δg(2	NUM
ejpam-4513	157	3	+	+	NUM
ejpam-4513	157	4	v2	v2	NOUN
ejpam-4513	157	5	)	)	PUNCT
ejpam-4513	157	6	]	]	PUNCT
ejpam-4513	158	1	2	2	NUM
ejpam-4513	158	2	+	+	CCONJ
ejpam-4513	158	3	e1e2[2δh	e1e2[2δh	X
ejpam-4513	159	1	+	+	X
ejpam-4513	159	2	2]2	2]2	NUM
ejpam-4513	159	3	+	+	CCONJ
ejpam-4513	159	4	2v2e1[δh	2v2e1[δh	NOUN
ejpam-4513	159	5	+	+	CCONJ
ejpam-4513	159	6	δg(2	δg(2	PROPN
ejpam-4513	159	7	+	+	X
ejpam-4513	159	8	v2	v2	NOUN
ejpam-4513	159	9	)	)	PUNCT
ejpam-4513	159	10	]	]	PUNCT
ejpam-4513	160	1	2	2	X
ejpam-4513	160	2	.	.	X
ejpam-4513	160	3	theorem	theorem	NOUN
ejpam-4513	160	4	7	7	NUM
ejpam-4513	160	5	.	.	PUNCT
ejpam-4513	161	1	let	let	VERB
ejpam-4513	161	2	g	g	NOUN
ejpam-4513	161	3	and	and	CCONJ
ejpam-4513	161	4	h	h	NOUN
ejpam-4513	161	5	be	be	VERB
ejpam-4513	161	6	two	two	NUM
ejpam-4513	161	7	simple	simple	ADJ
ejpam-4513	161	8	connected	connected	ADJ
ejpam-4513	161	9	graphs	graph	NOUN
ejpam-4513	161	10	,	,	PUNCT
ejpam-4513	161	11	then	then	ADV
ejpam-4513	161	12	hm	hm	INTJ
ejpam-4513	162	1	[	[	X
ejpam-4513	162	2	ψ	ψ	X
ejpam-4513	162	3	]	]	X
ejpam-4513	162	4	≤	≤	NUM
ejpam-4513	162	5	e1[2∆g(2	e1[2∆g(2	PROPN
ejpam-4513	162	6	+	+	CCONJ
ejpam-4513	162	7	v2	v2	PROPN
ejpam-4513	162	8	)	)	PUNCT
ejpam-4513	162	9	]	]	PUNCT
ejpam-4513	163	1	2	2	NUM
ejpam-4513	163	2	+	+	SYM
ejpam-4513	163	3	2e1[2	2e1[2	NUM
ejpam-4513	163	4	+	+	SYM
ejpam-4513	163	5	∆g(2	∆g(2	PROPN
ejpam-4513	163	6	+	+	NUM
ejpam-4513	163	7	v2	v2	NOUN
ejpam-4513	163	8	)	)	PUNCT
ejpam-4513	163	9	]	]	PUNCT
ejpam-4513	164	1	2	2	NUM
ejpam-4513	164	2	+	+	NUM
ejpam-4513	164	3	e1e2[(∆h	e1e2[(∆h	PROPN
ejpam-4513	164	4	+	+	CCONJ
ejpam-4513	164	5	2)2	2)2	NUM
ejpam-4513	164	6	]	]	X
ejpam-4513	164	7	+	+	CCONJ
ejpam-4513	164	8	2v2e1[∆h	2v2e1[∆h	NUM
ejpam-4513	164	9	+	+	CCONJ
ejpam-4513	164	10	2	2	NUM
ejpam-4513	164	11	+	+	ADJ
ejpam-4513	164	12	∆g(2	∆g(2	X
ejpam-4513	164	13	+	+	NUM
ejpam-4513	164	14	v2	v2	NOUN
ejpam-4513	164	15	)	)	PUNCT
ejpam-4513	164	16	]	]	PUNCT
ejpam-4513	164	17	2	2	NUM
ejpam-4513	164	18	and	and	CCONJ
ejpam-4513	164	19	hm	hm	INTJ
ejpam-4513	165	1	[	[	X
ejpam-4513	165	2	ψ	ψ	X
ejpam-4513	165	3	]	]	X
ejpam-4513	165	4	≥	≥	NUM
ejpam-4513	165	5	e1[2δg(2	e1[2δg(2	NOUN
ejpam-4513	165	6	+	+	CCONJ
ejpam-4513	165	7	v2	v2	NOUN
ejpam-4513	165	8	)	)	PUNCT
ejpam-4513	165	9	]	]	PUNCT
ejpam-4513	166	1	2	2	NUM
ejpam-4513	166	2	+	+	SYM
ejpam-4513	166	3	2e1[2	2e1[2	NUM
ejpam-4513	166	4	+	+	CCONJ
ejpam-4513	166	5	δg(2	δg(2	PROPN
ejpam-4513	166	6	+	+	X
ejpam-4513	166	7	v2	v2	NOUN
ejpam-4513	166	8	)	)	PUNCT
ejpam-4513	166	9	]	]	PUNCT
ejpam-4513	167	1	2	2	NUM
ejpam-4513	167	2	+	+	NUM
ejpam-4513	167	3	e1e2[(δh	e1e2[(δh	X
ejpam-4513	167	4	+	+	CCONJ
ejpam-4513	167	5	2)2	2)2	NUM
ejpam-4513	167	6	]	]	X
ejpam-4513	167	7	+	+	NUM
ejpam-4513	167	8	2v2e1[δh	2v2e1[δh	NOUN
ejpam-4513	167	9	+	+	CCONJ
ejpam-4513	167	10	2	2	NUM
ejpam-4513	167	11	+	+	CCONJ
ejpam-4513	167	12	δg(2	δg(2	PROPN
ejpam-4513	167	13	+	+	X
ejpam-4513	167	14	v2	v2	NOUN
ejpam-4513	167	15	)	)	PUNCT
ejpam-4513	167	16	]	]	PUNCT
ejpam-4513	168	1	2	2	X
ejpam-4513	168	2	.	.	X
ejpam-4513	168	3	proof	proof	NOUN
ejpam-4513	168	4	.	.	PUNCT
ejpam-4513	169	1	using	use	VERB
ejpam-4513	169	2	table	table	NOUN
ejpam-4513	169	3	1	1	NUM
ejpam-4513	169	4	and	and	CCONJ
ejpam-4513	169	5	definition	definition	NOUN
ejpam-4513	169	6	of	of	ADP
ejpam-4513	169	7	hyper	hyper	PROPN
ejpam-4513	169	8	zagreb	zagreb	PROPN
ejpam-4513	169	9	index	index	PROPN
ejpam-4513	169	10	,	,	PUNCT
ejpam-4513	169	11	we	we	PRON
ejpam-4513	169	12	have	have	VERB
ejpam-4513	169	13	hm(ψ	hm(ψ	NOUN
ejpam-4513	169	14	)	)	PUNCT
ejpam-4513	170	1	=	=	SYM
ejpam-4513	170	2	∑	∑	PUNCT
ejpam-4513	170	3	uv∈e(g	uv∈e(g	NUM
ejpam-4513	170	4	)	)	PUNCT
ejpam-4513	171	1	[	[	X
ejpam-4513	171	2	du	du	X
ejpam-4513	171	3	+	+	X
ejpam-4513	171	4	dv	dv	X
ejpam-4513	171	5	]	]	X
ejpam-4513	171	6	2	2	NUM
ejpam-4513	171	7	=	=	SYM
ejpam-4513	171	8	e1[dg(2	e1[dg(2	PROPN
ejpam-4513	171	9	+	+	NOUN
ejpam-4513	171	10	v2	v2	NOUN
ejpam-4513	171	11	)	)	PUNCT
ejpam-4513	172	1	+	+	CCONJ
ejpam-4513	172	2	dg(2	dg(2	PROPN
ejpam-4513	172	3	+	+	SYM
ejpam-4513	172	4	v2	v2	PROPN
ejpam-4513	172	5	)	)	PUNCT
ejpam-4513	172	6	]	]	PUNCT
ejpam-4513	173	1	2	2	NUM
ejpam-4513	173	2	+	+	SYM
ejpam-4513	173	3	2e1[2	2e1[2	NUM
ejpam-4513	173	4	+	+	NUM
ejpam-4513	173	5	dg(2	dg(2	NOUN
ejpam-4513	173	6	+	+	SYM
ejpam-4513	173	7	v2	v2	PROPN
ejpam-4513	173	8	)	)	PUNCT
ejpam-4513	173	9	]	]	PUNCT
ejpam-4513	174	1	2	2	NUM
ejpam-4513	174	2	+	+	CCONJ
ejpam-4513	174	3	e1e2[(dh	e1e2[(dh	ADJ
ejpam-4513	174	4	+	+	CCONJ
ejpam-4513	174	5	2	2	NUM
ejpam-4513	174	6	)	)	PUNCT
ejpam-4513	174	7	+	+	CCONJ
ejpam-4513	174	8	(	(	PUNCT
ejpam-4513	174	9	dh	dh	NOUN
ejpam-4513	174	10	+	+	CCONJ
ejpam-4513	174	11	2)]2	2)]2	NUM
ejpam-4513	174	12	+	+	CCONJ
ejpam-4513	174	13	2v2e1[(dh	2v2e1[(dh	NUM
ejpam-4513	174	14	+	+	NOUN
ejpam-4513	174	15	2	2	NUM
ejpam-4513	174	16	)	)	PUNCT
ejpam-4513	174	17	+	+	NUM
ejpam-4513	174	18	dg(2	dg(2	PROPN
ejpam-4513	174	19	+	+	SYM
ejpam-4513	174	20	v2	v2	PROPN
ejpam-4513	174	21	)	)	PUNCT
ejpam-4513	174	22	]	]	PUNCT
ejpam-4513	174	23	2	2	NUM
ejpam-4513	174	24	=	=	SYM
ejpam-4513	174	25	e1[2dg(2	e1[2dg(2	NOUN
ejpam-4513	174	26	+	+	CCONJ
ejpam-4513	174	27	v2	v2	NOUN
ejpam-4513	174	28	)	)	PUNCT
ejpam-4513	174	29	]	]	PUNCT
ejpam-4513	174	30	2	2	NUM
ejpam-4513	175	1	+	+	SYM
ejpam-4513	175	2	2e1[2	2e1[2	NUM
ejpam-4513	175	3	+	+	NUM
ejpam-4513	175	4	dg(2	dg(2	NOUN
ejpam-4513	175	5	+	+	SYM
ejpam-4513	175	6	v2	v2	PROPN
ejpam-4513	175	7	)	)	PUNCT
ejpam-4513	175	8	]	]	PUNCT
ejpam-4513	176	1	2	2	NUM
ejpam-4513	176	2	+	+	CCONJ
ejpam-4513	176	3	e1e2[2(dh	e1e2[2(dh	ADJ
ejpam-4513	176	4	+	+	CCONJ
ejpam-4513	176	5	2)]2	2)]2	NOUN
ejpam-4513	177	1	+	+	CCONJ
ejpam-4513	178	1	2v2e1[(dh	2v2e1[(dh	NUM
ejpam-4513	178	2	+	+	NOUN
ejpam-4513	178	3	2	2	NUM
ejpam-4513	178	4	)	)	PUNCT
ejpam-4513	178	5	+	+	NUM
ejpam-4513	178	6	dg(2	dg(2	PROPN
ejpam-4513	178	7	+	+	SYM
ejpam-4513	178	8	v2	v2	PROPN
ejpam-4513	178	9	)	)	PUNCT
ejpam-4513	178	10	]	]	PUNCT
ejpam-4513	178	11	2	2	NUM
ejpam-4513	178	12	hm2[ψ	hm2[ψ	PROPN
ejpam-4513	178	13	]	]	X
ejpam-4513	178	14	≤	≤	NUM
ejpam-4513	179	1	e1[2∆g(2	e1[2∆g(2	PROPN
ejpam-4513	179	2	+	+	CCONJ
ejpam-4513	179	3	v2	v2	PROPN
ejpam-4513	179	4	)	)	PUNCT
ejpam-4513	179	5	]	]	PUNCT
ejpam-4513	179	6	2	2	NUM
ejpam-4513	180	1	+	+	SYM
ejpam-4513	180	2	2e1[2	2e1[2	NUM
ejpam-4513	180	3	+	+	SYM
ejpam-4513	180	4	∆g(2	∆g(2	PROPN
ejpam-4513	180	5	+	+	NUM
ejpam-4513	180	6	v2	v2	NOUN
ejpam-4513	180	7	)	)	PUNCT
ejpam-4513	180	8	]	]	PUNCT
ejpam-4513	181	1	2	2	NUM
ejpam-4513	181	2	+	+	NUM
ejpam-4513	181	3	e1e2[(∆h	e1e2[(∆h	PROPN
ejpam-4513	181	4	+	+	CCONJ
ejpam-4513	181	5	2)2	2)2	NUM
ejpam-4513	181	6	]	]	X
ejpam-4513	181	7	+	+	CCONJ
ejpam-4513	181	8	2v2e1[∆h	2v2e1[∆h	NUM
ejpam-4513	181	9	+	+	CCONJ
ejpam-4513	181	10	2	2	NUM
ejpam-4513	181	11	+	+	ADJ
ejpam-4513	181	12	∆g(2	∆g(2	X
ejpam-4513	181	13	+	+	NUM
ejpam-4513	181	14	v2	v2	NOUN
ejpam-4513	181	15	)	)	PUNCT
ejpam-4513	181	16	]	]	PUNCT
ejpam-4513	181	17	2	2	NUM
ejpam-4513	181	18	similarly	similarly	ADV
ejpam-4513	181	19	,	,	PUNCT
ejpam-4513	181	20	hm	hm	INTJ
ejpam-4513	181	21	[	[	X
ejpam-4513	181	22	ψ	ψ	X
ejpam-4513	181	23	]	]	X
ejpam-4513	181	24	≥	≥	NUM
ejpam-4513	181	25	e1[2δg(2	e1[2δg(2	NOUN
ejpam-4513	181	26	+	+	CCONJ
ejpam-4513	181	27	v2	v2	NOUN
ejpam-4513	181	28	)	)	PUNCT
ejpam-4513	181	29	]	]	PUNCT
ejpam-4513	182	1	2	2	NUM
ejpam-4513	182	2	+	+	SYM
ejpam-4513	182	3	2e1[2	2e1[2	NUM
ejpam-4513	182	4	+	+	CCONJ
ejpam-4513	182	5	δg(2	δg(2	PROPN
ejpam-4513	182	6	+	+	X
ejpam-4513	182	7	v2	v2	NOUN
ejpam-4513	182	8	)	)	PUNCT
ejpam-4513	182	9	]	]	PUNCT
ejpam-4513	183	1	2	2	NUM
ejpam-4513	183	2	+	+	NUM
ejpam-4513	183	3	e1e2[(δh	e1e2[(δh	X
ejpam-4513	183	4	+	+	CCONJ
ejpam-4513	183	5	2)2	2)2	NUM
ejpam-4513	183	6	]	]	X
ejpam-4513	183	7	+	+	NUM
ejpam-4513	183	8	2v2e1[δh	2v2e1[δh	NOUN
ejpam-4513	183	9	+	+	CCONJ
ejpam-4513	183	10	2	2	NUM
ejpam-4513	183	11	+	+	CCONJ
ejpam-4513	183	12	δg(2	δg(2	PROPN
ejpam-4513	183	13	+	+	X
ejpam-4513	183	14	v2	v2	NOUN
ejpam-4513	183	15	)	)	PUNCT
ejpam-4513	183	16	]	]	PUNCT
ejpam-4513	184	1	2	2	X
ejpam-4513	184	2	.	.	X
ejpam-4513	184	3	theorem	theorem	NOUN
ejpam-4513	184	4	8	8	NUM
ejpam-4513	184	5	.	.	PUNCT
ejpam-4513	185	1	let	let	VERB
ejpam-4513	185	2	g	g	NOUN
ejpam-4513	185	3	and	and	CCONJ
ejpam-4513	185	4	h	h	NOUN
ejpam-4513	185	5	be	be	VERB
ejpam-4513	185	6	two	two	NUM
ejpam-4513	185	7	simple	simple	ADJ
ejpam-4513	185	8	connected	connected	ADJ
ejpam-4513	185	9	graphs	graph	NOUN
ejpam-4513	185	10	,	,	PUNCT
ejpam-4513	185	11	then	then	ADV
ejpam-4513	185	12	so[ψ	so[ψ	PROPN
ejpam-4513	185	13	]	]	PUNCT
ejpam-4513	186	1	≤	≤	NUM
ejpam-4513	186	2	e1	e1	VERB
ejpam-4513	186	3	√	√	NUM
ejpam-4513	186	4	2∆g	2∆g	NUM
ejpam-4513	186	5	2(2	2(2	NUM
ejpam-4513	187	1	+	+	CCONJ
ejpam-4513	187	2	v2)2	v2)2	NUM
ejpam-4513	187	3	+	+	NUM
ejpam-4513	187	4	2e1	2e1	NUM
ejpam-4513	187	5	√	√	ADP
ejpam-4513	187	6	4	4	NUM
ejpam-4513	187	7	+	+	CCONJ
ejpam-4513	187	8	∆g	∆g	PROPN
ejpam-4513	187	9	2(2	2(2	PROPN
ejpam-4513	188	1	+	+	CCONJ
ejpam-4513	188	2	v2)2	v2)2	NUM
ejpam-4513	188	3	+	+	NUM
ejpam-4513	188	4	e1e2	e1e2	NOUN
ejpam-4513	188	5	√	√	NOUN
ejpam-4513	188	6	2(∆h	2(∆h	NUM
ejpam-4513	188	7	+	+	CCONJ
ejpam-4513	188	8	2)2	2)2	NUM
ejpam-4513	188	9	+	+	SYM
ejpam-4513	188	10	2v2e1	2v2e1	NUM
ejpam-4513	188	11	√	√	PROPN
ejpam-4513	188	12	(	(	PUNCT
ejpam-4513	188	13	∆h	∆h	PROPN
ejpam-4513	188	14	+	+	CCONJ
ejpam-4513	188	15	2)2	2)2	NUM
ejpam-4513	188	16	+	+	ADJ
ejpam-4513	188	17	∆g	∆g	PROPN
ejpam-4513	188	18	2(2	2(2	NUM
ejpam-4513	188	19	+	+	CCONJ
ejpam-4513	188	20	v2)2	v2)2	ADP
ejpam-4513	188	21	dafik	dafik	VERB
ejpam-4513	188	22	et	et	PROPN
ejpam-4513	188	23	al	al	PROPN
ejpam-4513	188	24	.	.	PUNCT
ejpam-4513	188	25	/	/	SYM
ejpam-4513	188	26	eur	eur	PROPN
ejpam-4513	188	27	.	.	PUNCT
ejpam-4513	189	1	j.	j.	PROPN
ejpam-4513	189	2	pure	pure	PROPN
ejpam-4513	189	3	appl	appl	PROPN
ejpam-4513	189	4	.	.	PROPN
ejpam-4513	189	5	math	math	PROPN
ejpam-4513	189	6	,	,	PUNCT
ejpam-4513	189	7	16	16	NUM
ejpam-4513	189	8	(	(	PUNCT
ejpam-4513	189	9	2	2	NUM
ejpam-4513	189	10	)	)	PUNCT
ejpam-4513	189	11	(	(	PUNCT
ejpam-4513	189	12	2023	2023	NUM
ejpam-4513	189	13	)	)	PUNCT
ejpam-4513	189	14	,	,	PUNCT
ejpam-4513	189	15	1094	1094	NUM
ejpam-4513	189	16	-	-	SYM
ejpam-4513	189	17	1109	1109	NUM
ejpam-4513	189	18	1101	1101	NUM
ejpam-4513	189	19	and	and	CCONJ
ejpam-4513	189	20	so[ψ	so[ψ	PROPN
ejpam-4513	189	21	]	]	PUNCT
ejpam-4513	189	22	≥	≥	PRON
ejpam-4513	189	23	e1	e1	VERB
ejpam-4513	189	24	√	√	NUM
ejpam-4513	189	25	2δg	2δg	NOUN
ejpam-4513	189	26	2(2	2(2	NUM
ejpam-4513	190	1	+	+	CCONJ
ejpam-4513	190	2	v2)2	v2)2	NUM
ejpam-4513	190	3	+	+	NUM
ejpam-4513	190	4	2e1	2e1	NUM
ejpam-4513	190	5	√	√	ADP
ejpam-4513	190	6	4	4	NUM
ejpam-4513	190	7	+	+	CCONJ
ejpam-4513	190	8	δg	δg	NUM
ejpam-4513	190	9	2(2	2(2	NUM
ejpam-4513	190	10	+	+	CCONJ
ejpam-4513	190	11	v2)2	v2)2	NUM
ejpam-4513	190	12	+	+	NUM
ejpam-4513	190	13	e1e2	e1e2	NOUN
ejpam-4513	190	14	√	√	VERB
ejpam-4513	190	15	2(δh	2(δh	NOUN
ejpam-4513	190	16	+	+	CCONJ
ejpam-4513	190	17	2)2	2)2	NUM
ejpam-4513	190	18	+	+	SYM
ejpam-4513	190	19	2v2e1	2v2e1	NUM
ejpam-4513	190	20	√	√	VERB
ejpam-4513	190	21	(	(	PUNCT
ejpam-4513	190	22	δh	δh	ADP
ejpam-4513	190	23	+	+	CCONJ
ejpam-4513	190	24	2)2	2)2	NUM
ejpam-4513	190	25	+	+	CCONJ
ejpam-4513	190	26	δg	δg	NUM
ejpam-4513	190	27	2(2	2(2	NUM
ejpam-4513	190	28	+	+	SYM
ejpam-4513	190	29	v2)2	v2)2	X
ejpam-4513	190	30	.	.	NOUN
ejpam-4513	190	31	proof	proof	NOUN
ejpam-4513	190	32	.	.	PUNCT
ejpam-4513	191	1	using	use	VERB
ejpam-4513	191	2	table1	table1	PROPN
ejpam-4513	191	3	and	and	CCONJ
ejpam-4513	191	4	definition	definition	NOUN
ejpam-4513	191	5	of	of	ADP
ejpam-4513	191	6	sombor	sombor	NOUN
ejpam-4513	191	7	index	index	NOUN
ejpam-4513	191	8	,	,	PUNCT
ejpam-4513	191	9	we	we	PRON
ejpam-4513	191	10	have	have	VERB
ejpam-4513	191	11	so[ψ	so[ψ	NOUN
ejpam-4513	191	12	]	]	X
ejpam-4513	192	1	=	=	PUNCT
ejpam-4513	192	2	∑	∑	PUNCT
ejpam-4513	192	3	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	192	4	]	]	X
ejpam-4513	192	5	√	√	PUNCT
ejpam-4513	192	6	d2u	d2u	ADV
ejpam-4513	192	7	+	+	CCONJ
ejpam-4513	192	8	d2v	d2v	ADJ
ejpam-4513	192	9	=	=	SYM
ejpam-4513	192	10	e1	e1	PROPN
ejpam-4513	192	11	√	√	NUM
ejpam-4513	192	12	dg	dg	PRON
ejpam-4513	192	13	2(2	2(2	NUM
ejpam-4513	193	1	+	+	CCONJ
ejpam-4513	193	2	v2)2	v2)2	SYM
ejpam-4513	193	3	+	+	NUM
ejpam-4513	193	4	dg	dg	PRON
ejpam-4513	193	5	2(2	2(2	NUM
ejpam-4513	194	1	+	+	CCONJ
ejpam-4513	194	2	v2)2	v2)2	NUM
ejpam-4513	194	3	+	+	NUM
ejpam-4513	194	4	2e1	2e1	NUM
ejpam-4513	194	5	√	√	NUM
ejpam-4513	194	6	22	22	NUM
ejpam-4513	194	7	+	+	CCONJ
ejpam-4513	194	8	dg	dg	PRON
ejpam-4513	194	9	2(2	2(2	NUM
ejpam-4513	194	10	+	+	CCONJ
ejpam-4513	194	11	v2)2	v2)2	NUM
ejpam-4513	194	12	+	+	NUM
ejpam-4513	194	13	e1e2	e1e2	NOUN
ejpam-4513	194	14	√	√	NUM
ejpam-4513	194	15	(	(	PUNCT
ejpam-4513	194	16	dh	dh	NOUN
ejpam-4513	194	17	+	+	CCONJ
ejpam-4513	194	18	2)2	2)2	NUM
ejpam-4513	194	19	+	+	CCONJ
ejpam-4513	194	20	(	(	PUNCT
ejpam-4513	194	21	dh	dh	NOUN
ejpam-4513	194	22	+	+	CCONJ
ejpam-4513	194	23	2)2	2)2	NUM
ejpam-4513	194	24	+	+	SYM
ejpam-4513	194	25	2v2e1	2v2e1	NUM
ejpam-4513	194	26	√	√	PROPN
ejpam-4513	194	27	(	(	PUNCT
ejpam-4513	194	28	dh	dh	NOUN
ejpam-4513	194	29	+	+	CCONJ
ejpam-4513	194	30	2)2	2)2	NUM
ejpam-4513	194	31	+	+	CCONJ
ejpam-4513	194	32	dg	dg	PRON
ejpam-4513	194	33	2(2	2(2	NUM
ejpam-4513	195	1	+	+	CCONJ
ejpam-4513	195	2	v2)2	v2)2	SYM
ejpam-4513	195	3	=	=	NOUN
ejpam-4513	195	4	e1	e1	PROPN
ejpam-4513	195	5	√	√	NUM
ejpam-4513	195	6	2dg	2dg	NOUN
ejpam-4513	195	7	2(2	2(2	NUM
ejpam-4513	196	1	+	+	CCONJ
ejpam-4513	196	2	v2)2	v2)2	NUM
ejpam-4513	196	3	+	+	NUM
ejpam-4513	196	4	2e1	2e1	NUM
ejpam-4513	196	5	√	√	NUM
ejpam-4513	196	6	4	4	NUM
ejpam-4513	196	7	+	+	CCONJ
ejpam-4513	196	8	dg	dg	PRON
ejpam-4513	196	9	2(2	2(2	NUM
ejpam-4513	196	10	+	+	CCONJ
ejpam-4513	196	11	v2)2	v2)2	NUM
ejpam-4513	196	12	+	+	NUM
ejpam-4513	196	13	e1e2	e1e2	NOUN
ejpam-4513	196	14	√	√	NUM
ejpam-4513	196	15	2(dh	2(dh	NUM
ejpam-4513	196	16	+	+	CCONJ
ejpam-4513	196	17	2)2	2)2	NUM
ejpam-4513	196	18	+	+	SYM
ejpam-4513	196	19	2v2e1	2v2e1	NUM
ejpam-4513	196	20	√	√	PROPN
ejpam-4513	196	21	(	(	PUNCT
ejpam-4513	196	22	dh	dh	NOUN
ejpam-4513	197	1	+	+	CCONJ
ejpam-4513	197	2	2)2	2)2	NUM
ejpam-4513	197	3	+	+	CCONJ
ejpam-4513	197	4	dg	dg	PRON
ejpam-4513	197	5	2(2	2(2	NUM
ejpam-4513	198	1	+	+	CCONJ
ejpam-4513	198	2	v2)2	v2)2	NUM
ejpam-4513	198	3	so[ψ	so[ψ	PROPN
ejpam-4513	198	4	]	]	PUNCT
ejpam-4513	198	5	≤	≤	NUM
ejpam-4513	198	6	e1	e1	VERB
ejpam-4513	198	7	√	√	NUM
ejpam-4513	198	8	2∆g	2∆g	NUM
ejpam-4513	198	9	2(2	2(2	NUM
ejpam-4513	199	1	+	+	CCONJ
ejpam-4513	199	2	v2)2	v2)2	NUM
ejpam-4513	199	3	+	+	NUM
ejpam-4513	199	4	2e1	2e1	NUM
ejpam-4513	199	5	√	√	ADP
ejpam-4513	199	6	4	4	NUM
ejpam-4513	199	7	+	+	CCONJ
ejpam-4513	199	8	∆g	∆g	PROPN
ejpam-4513	199	9	2(2	2(2	PROPN
ejpam-4513	200	1	+	+	CCONJ
ejpam-4513	200	2	v2)2	v2)2	NUM
ejpam-4513	200	3	+	+	NUM
ejpam-4513	200	4	e1e2	e1e2	NOUN
ejpam-4513	200	5	√	√	NOUN
ejpam-4513	200	6	2(∆h	2(∆h	NUM
ejpam-4513	200	7	+	+	CCONJ
ejpam-4513	200	8	2)2	2)2	NUM
ejpam-4513	200	9	+	+	SYM
ejpam-4513	200	10	2v2e1	2v2e1	NUM
ejpam-4513	200	11	√	√	PROPN
ejpam-4513	200	12	(	(	PUNCT
ejpam-4513	200	13	∆h	∆h	PROPN
ejpam-4513	200	14	+	+	CCONJ
ejpam-4513	200	15	2)2	2)2	NUM
ejpam-4513	200	16	+	+	ADJ
ejpam-4513	200	17	∆g	∆g	PROPN
ejpam-4513	200	18	2(2	2(2	PROPN
ejpam-4513	200	19	+	+	SYM
ejpam-4513	200	20	v2)2	v2)2	X
ejpam-4513	200	21	.	.	PUNCT
ejpam-4513	200	22	similarly	similarly	ADV
ejpam-4513	200	23	,	,	PUNCT
ejpam-4513	200	24	so[ψ	so[ψ	PROPN
ejpam-4513	200	25	]	]	PUNCT
ejpam-4513	200	26	≥	≥	PRON
ejpam-4513	200	27	e1	e1	VERB
ejpam-4513	200	28	√	√	NUM
ejpam-4513	200	29	2δg	2δg	NOUN
ejpam-4513	200	30	2(2	2(2	NUM
ejpam-4513	201	1	+	+	CCONJ
ejpam-4513	201	2	v2)2	v2)2	NUM
ejpam-4513	201	3	+	+	NUM
ejpam-4513	201	4	2e1	2e1	NUM
ejpam-4513	201	5	√	√	ADP
ejpam-4513	201	6	4	4	NUM
ejpam-4513	201	7	+	+	CCONJ
ejpam-4513	201	8	δg	δg	NUM
ejpam-4513	201	9	2(2	2(2	NUM
ejpam-4513	201	10	+	+	CCONJ
ejpam-4513	201	11	v2)2	v2)2	NUM
ejpam-4513	201	12	+	+	NUM
ejpam-4513	201	13	e1e2	e1e2	NOUN
ejpam-4513	201	14	√	√	VERB
ejpam-4513	201	15	2(δh	2(δh	NOUN
ejpam-4513	201	16	+	+	CCONJ
ejpam-4513	201	17	2)2	2)2	NUM
ejpam-4513	201	18	+	+	SYM
ejpam-4513	201	19	2v2e1	2v2e1	NUM
ejpam-4513	201	20	√	√	VERB
ejpam-4513	201	21	(	(	PUNCT
ejpam-4513	201	22	δh	δh	ADP
ejpam-4513	201	23	+	+	CCONJ
ejpam-4513	201	24	2)2	2)2	NUM
ejpam-4513	201	25	+	+	CCONJ
ejpam-4513	201	26	δg	δg	NUM
ejpam-4513	201	27	2(2	2(2	NUM
ejpam-4513	201	28	+	+	SYM
ejpam-4513	201	29	v2)2	v2)2	X
ejpam-4513	201	30	.	.	PUNCT
ejpam-4513	201	31	theorem	theorem	NOUN
ejpam-4513	201	32	9	9	NUM
ejpam-4513	201	33	.	.	PUNCT
ejpam-4513	202	1	let	let	VERB
ejpam-4513	202	2	g	g	NOUN
ejpam-4513	202	3	and	and	CCONJ
ejpam-4513	202	4	h	h	NOUN
ejpam-4513	202	5	be	be	VERB
ejpam-4513	202	6	two	two	NUM
ejpam-4513	202	7	simple	simple	ADJ
ejpam-4513	202	8	connected	connected	ADJ
ejpam-4513	202	9	graphs	graph	NOUN
ejpam-4513	202	10	,	,	PUNCT
ejpam-4513	202	11	then	then	ADV
ejpam-4513	202	12	rr[ψ	rr[ψ	PROPN
ejpam-4513	202	13	]	]	PUNCT
ejpam-4513	202	14	≤	≤	NUM
ejpam-4513	203	1	e1[∆g(2+v2)]+2e1	e1[∆g(2+v2)]+2e1	VERB
ejpam-4513	203	2	√	√	ADP
ejpam-4513	203	3	2∆g(2	2∆g(2	NUM
ejpam-4513	203	4	+	+	SYM
ejpam-4513	203	5	v2)+e1e2[∆h	v2)+e1e2[∆h	NOUN
ejpam-4513	203	6	+2]+2v2e1	+2]+2v2e1	PROPN
ejpam-4513	203	7	√	√	INTJ
ejpam-4513	203	8	(	(	PUNCT
ejpam-4513	203	9	∆h	∆h	PROPN
ejpam-4513	203	10	+	+	NUM
ejpam-4513	203	11	2)∆g(2	2)∆g(2	NUM
ejpam-4513	203	12	+	+	CCONJ
ejpam-4513	203	13	v2	v2	NOUN
ejpam-4513	203	14	)	)	PUNCT
ejpam-4513	203	15	and	and	CCONJ
ejpam-4513	203	16	rr[ψ	rr[ψ	PROPN
ejpam-4513	203	17	]	]	PUNCT
ejpam-4513	203	18	≥	≥	X
ejpam-4513	203	19	e1[δg(2	e1[δg(2	X
ejpam-4513	203	20	+	+	X
ejpam-4513	203	21	v2	v2	PROPN
ejpam-4513	203	22	)	)	PUNCT
ejpam-4513	203	23	]	]	PUNCT
ejpam-4513	204	1	+	+	CCONJ
ejpam-4513	204	2	2e1	2e1	NUM
ejpam-4513	204	3	√	√	NUM
ejpam-4513	204	4	2δg(2	2δg(2	NUM
ejpam-4513	204	5	+	+	SYM
ejpam-4513	204	6	v2	v2	NOUN
ejpam-4513	204	7	)	)	PUNCT
ejpam-4513	204	8	+	+	CCONJ
ejpam-4513	204	9	e1e2[δh	e1e2[δh	NOUN
ejpam-4513	204	10	+	+	NOUN
ejpam-4513	204	11	2	2	NUM
ejpam-4513	204	12	]	]	PUNCT
ejpam-4513	204	13	+	+	NUM
ejpam-4513	204	14	2v2e1	2v2e1	NUM
ejpam-4513	204	15	√	√	VERB
ejpam-4513	204	16	(	(	PUNCT
ejpam-4513	204	17	δh	δh	ADP
ejpam-4513	204	18	+	+	CCONJ
ejpam-4513	204	19	2)δg(2	2)δg(2	NUM
ejpam-4513	204	20	+	+	SYM
ejpam-4513	204	21	v2	v2	NOUN
ejpam-4513	204	22	)	)	PUNCT
ejpam-4513	204	23	.	.	PUNCT
ejpam-4513	205	1	proof	proof	NOUN
ejpam-4513	205	2	.	.	PUNCT
ejpam-4513	206	1	using	use	VERB
ejpam-4513	206	2	table	table	NOUN
ejpam-4513	206	3	1	1	NUM
ejpam-4513	206	4	and	and	CCONJ
ejpam-4513	206	5	the	the	DET
ejpam-4513	206	6	definition	definition	NOUN
ejpam-4513	206	7	of	of	ADP
ejpam-4513	206	8	reciprocal	reciprocal	ADJ
ejpam-4513	206	9	randic	randic	ADJ
ejpam-4513	206	10	index	index	NOUN
ejpam-4513	206	11	,	,	PUNCT
ejpam-4513	206	12	we	we	PRON
ejpam-4513	206	13	have	have	VERB
ejpam-4513	206	14	rr[ψ	rr[ψ	PROPN
ejpam-4513	206	15	]	]	PUNCT
ejpam-4513	207	1	=	=	PUNCT
ejpam-4513	207	2	∑	∑	PUNCT
ejpam-4513	207	3	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	207	4	]	]	X
ejpam-4513	207	5	√	√	PUNCT
ejpam-4513	207	6	du.dv	du.dv	NOUN
ejpam-4513	207	7	=	=	SYM
ejpam-4513	207	8	e1	e1	VERB
ejpam-4513	207	9	√	√	NOUN
ejpam-4513	207	10	dg(2	dg(2	NOUN
ejpam-4513	207	11	+	+	CCONJ
ejpam-4513	207	12	v2)dg(2	v2)dg(2	PROPN
ejpam-4513	207	13	+	+	CCONJ
ejpam-4513	207	14	v2	v2	NOUN
ejpam-4513	207	15	)	)	PUNCT
ejpam-4513	208	1	+	+	NOUN
ejpam-4513	208	2	2e1	2e1	NUM
ejpam-4513	208	3	√	√	NUM
ejpam-4513	208	4	2dg(2	2dg(2	NUM
ejpam-4513	208	5	+	+	CCONJ
ejpam-4513	208	6	v2	v2	NOUN
ejpam-4513	208	7	)	)	PUNCT
ejpam-4513	208	8	+	+	NUM
ejpam-4513	208	9	e1e2	e1e2	NOUN
ejpam-4513	208	10	√	√	NUM
ejpam-4513	208	11	(	(	PUNCT
ejpam-4513	208	12	dh	dh	NOUN
ejpam-4513	208	13	+	+	CCONJ
ejpam-4513	208	14	2)(dh	2)(dh	NUM
ejpam-4513	208	15	+	+	CCONJ
ejpam-4513	208	16	2	2	NUM
ejpam-4513	208	17	)	)	PUNCT
ejpam-4513	208	18	+	+	NUM
ejpam-4513	208	19	2v2e1	2v2e1	NUM
ejpam-4513	208	20	√	√	INTJ
ejpam-4513	208	21	(	(	PUNCT
ejpam-4513	208	22	dh	dh	NOUN
ejpam-4513	208	23	+	+	CCONJ
ejpam-4513	208	24	2)dg(2	2)dg(2	NUM
ejpam-4513	208	25	+	+	CCONJ
ejpam-4513	208	26	v2	v2	NOUN
ejpam-4513	208	27	)	)	PUNCT
ejpam-4513	208	28	=	=	SYM
ejpam-4513	208	29	e1[dg(2	e1[dg(2	PROPN
ejpam-4513	208	30	+	+	PROPN
ejpam-4513	208	31	v2	v2	PROPN
ejpam-4513	208	32	)	)	PUNCT
ejpam-4513	208	33	]	]	PUNCT
ejpam-4513	209	1	+	+	CCONJ
ejpam-4513	209	2	2e1	2e1	NUM
ejpam-4513	209	3	√	√	NUM
ejpam-4513	209	4	2dg(2	2dg(2	NUM
ejpam-4513	209	5	+	+	CCONJ
ejpam-4513	209	6	v2	v2	PROPN
ejpam-4513	209	7	)	)	PUNCT
ejpam-4513	210	1	+	+	NUM
ejpam-4513	210	2	e1e2[dh	e1e2[dh	X
ejpam-4513	210	3	+	+	CCONJ
ejpam-4513	210	4	2	2	NUM
ejpam-4513	210	5	]	]	PUNCT
ejpam-4513	210	6	+	+	NUM
ejpam-4513	210	7	2v2e1	2v2e1	NUM
ejpam-4513	210	8	√	√	INTJ
ejpam-4513	210	9	(	(	PUNCT
ejpam-4513	210	10	dh	dh	NOUN
ejpam-4513	210	11	+	+	CCONJ
ejpam-4513	210	12	2)dg(2	2)dg(2	NUM
ejpam-4513	210	13	+	+	CCONJ
ejpam-4513	210	14	v2	v2	NOUN
ejpam-4513	210	15	)	)	PUNCT
ejpam-4513	210	16	rr[ψ	rr[ψ	NOUN
ejpam-4513	210	17	]	]	PUNCT
ejpam-4513	210	18	≤	≤	NOUN
ejpam-4513	211	1	e1[∆g(2	e1[∆g(2	VERB
ejpam-4513	211	2	+	+	CCONJ
ejpam-4513	211	3	v2	v2	NOUN
ejpam-4513	211	4	)	)	PUNCT
ejpam-4513	211	5	]	]	PUNCT
ejpam-4513	212	1	+	+	CCONJ
ejpam-4513	212	2	2e1	2e1	NUM
ejpam-4513	212	3	√	√	NUM
ejpam-4513	212	4	2∆g(2	2∆g(2	NUM
ejpam-4513	212	5	+	+	CCONJ
ejpam-4513	212	6	v2	v2	NOUN
ejpam-4513	212	7	)	)	PUNCT
ejpam-4513	212	8	+	+	NUM
ejpam-4513	212	9	e1e2[∆h	e1e2[∆h	ADJ
ejpam-4513	212	10	+	+	X
ejpam-4513	212	11	2	2	X
ejpam-4513	212	12	]	]	X
ejpam-4513	212	13	+	+	NUM
ejpam-4513	212	14	2v2e1	2v2e1	NUM
ejpam-4513	212	15	√	√	VERB
ejpam-4513	212	16	(	(	PUNCT
ejpam-4513	212	17	∆h	∆h	PROPN
ejpam-4513	212	18	+	+	NUM
ejpam-4513	212	19	2)∆g(2	2)∆g(2	NUM
ejpam-4513	212	20	+	+	CCONJ
ejpam-4513	212	21	v2	v2	NOUN
ejpam-4513	212	22	)	)	PUNCT
ejpam-4513	212	23	dafik	dafik	NOUN
ejpam-4513	212	24	et	et	PROPN
ejpam-4513	212	25	al	al	PROPN
ejpam-4513	212	26	.	.	PUNCT
ejpam-4513	212	27	/	/	SYM
ejpam-4513	212	28	eur	eur	PROPN
ejpam-4513	212	29	.	.	PUNCT
ejpam-4513	213	1	j.	j.	PROPN
ejpam-4513	213	2	pure	pure	PROPN
ejpam-4513	213	3	appl	appl	PROPN
ejpam-4513	213	4	.	.	PROPN
ejpam-4513	213	5	math	math	PROPN
ejpam-4513	213	6	,	,	PUNCT
ejpam-4513	213	7	16	16	NUM
ejpam-4513	213	8	(	(	PUNCT
ejpam-4513	213	9	2	2	NUM
ejpam-4513	213	10	)	)	PUNCT
ejpam-4513	213	11	(	(	PUNCT
ejpam-4513	213	12	2023	2023	NUM
ejpam-4513	213	13	)	)	PUNCT
ejpam-4513	213	14	,	,	PUNCT
ejpam-4513	213	15	1094	1094	NUM
ejpam-4513	213	16	-	-	SYM
ejpam-4513	213	17	1109	1109	NUM
ejpam-4513	213	18	1102	1102	NUM
ejpam-4513	213	19	similarly	similarly	ADV
ejpam-4513	213	20	,	,	PUNCT
ejpam-4513	213	21	rr[ψ	rr[ψ	PROPN
ejpam-4513	213	22	]	]	PUNCT
ejpam-4513	213	23	≥	≥	X
ejpam-4513	213	24	e1[δg(2	e1[δg(2	X
ejpam-4513	213	25	+	+	X
ejpam-4513	213	26	v2	v2	PROPN
ejpam-4513	213	27	)	)	PUNCT
ejpam-4513	213	28	]	]	PUNCT
ejpam-4513	214	1	+	+	CCONJ
ejpam-4513	214	2	2e1	2e1	NUM
ejpam-4513	214	3	√	√	NUM
ejpam-4513	214	4	2δg(2	2δg(2	NUM
ejpam-4513	214	5	+	+	SYM
ejpam-4513	214	6	v2	v2	NOUN
ejpam-4513	214	7	)	)	PUNCT
ejpam-4513	214	8	+	+	CCONJ
ejpam-4513	214	9	e1e2[δh	e1e2[δh	NOUN
ejpam-4513	214	10	+	+	NOUN
ejpam-4513	214	11	2	2	NUM
ejpam-4513	214	12	]	]	PUNCT
ejpam-4513	214	13	+	+	NUM
ejpam-4513	214	14	2v2e1	2v2e1	NUM
ejpam-4513	214	15	√	√	VERB
ejpam-4513	214	16	(	(	PUNCT
ejpam-4513	214	17	δh	δh	ADP
ejpam-4513	214	18	+	+	CCONJ
ejpam-4513	214	19	2)δg(2	2)δg(2	NUM
ejpam-4513	214	20	+	+	SYM
ejpam-4513	214	21	v2	v2	PROPN
ejpam-4513	214	22	)	)	PUNCT
ejpam-4513	214	23	.	.	PUNCT
ejpam-4513	215	1	theorem	theorem	ADJ
ejpam-4513	215	2	10	10	NUM
ejpam-4513	215	3	.	.	PUNCT
ejpam-4513	216	1	let	let	VERB
ejpam-4513	216	2	g	g	NOUN
ejpam-4513	216	3	and	and	CCONJ
ejpam-4513	216	4	h	h	NOUN
ejpam-4513	216	5	be	be	VERB
ejpam-4513	216	6	two	two	NUM
ejpam-4513	216	7	simple	simple	ADJ
ejpam-4513	216	8	connected	connected	ADJ
ejpam-4513	216	9	graphs	graph	NOUN
ejpam-4513	216	10	,	,	PUNCT
ejpam-4513	216	11	then	then	ADV
ejpam-4513	216	12	n	n	CCONJ
ejpam-4513	216	13	[	[	X
ejpam-4513	216	14	ψ	ψ	X
ejpam-4513	216	15	]	]	X
ejpam-4513	216	16	≤	≤	NUM
ejpam-4513	216	17	e1	e1	PROPN
ejpam-4513	216	18	[	[	PUNCT
ejpam-4513	216	19	√	√	NOUN
ejpam-4513	216	20	2∆g(2	2∆g(2	NUM
ejpam-4513	216	21	+	+	SYM
ejpam-4513	216	22	v2	v2	NOUN
ejpam-4513	216	23	)	)	PUNCT
ejpam-4513	216	24	]	]	PUNCT
ejpam-4513	217	1	+	+	CCONJ
ejpam-4513	217	2	2e1	2e1	NUM
ejpam-4513	217	3	√	√	ADP
ejpam-4513	217	4	2	2	NUM
ejpam-4513	217	5	+	+	CCONJ
ejpam-4513	217	6	∆g(2	∆g(2	PRON
ejpam-4513	217	7	+	+	NUM
ejpam-4513	217	8	v2	v2	NOUN
ejpam-4513	217	9	)	)	PUNCT
ejpam-4513	218	1	+	+	NUM
ejpam-4513	218	2	e1e2	e1e2	NOUN
ejpam-4513	218	3	[	[	PUNCT
ejpam-4513	218	4	√	√	NOUN
ejpam-4513	218	5	2(∆h	2(∆h	NUM
ejpam-4513	218	6	+	+	NOUN
ejpam-4513	218	7	2	2	NUM
ejpam-4513	218	8	)	)	PUNCT
ejpam-4513	218	9	]	]	PUNCT
ejpam-4513	219	1	+	+	CCONJ
ejpam-4513	219	2	2v2e1	2v2e1	NUM
ejpam-4513	219	3	√	√	VERB
ejpam-4513	219	4	(	(	PUNCT
ejpam-4513	219	5	∆h	∆h	PROPN
ejpam-4513	219	6	+	+	CCONJ
ejpam-4513	219	7	2	2	NUM
ejpam-4513	219	8	)	)	PUNCT
ejpam-4513	219	9	+	+	NUM
ejpam-4513	219	10	∆g(2	∆g(2	PROPN
ejpam-4513	219	11	+	+	NUM
ejpam-4513	219	12	v2	v2	NOUN
ejpam-4513	219	13	)	)	PUNCT
ejpam-4513	219	14	and	and	CCONJ
ejpam-4513	219	15	n	n	CCONJ
ejpam-4513	219	16	[	[	X
ejpam-4513	219	17	ψ	ψ	X
ejpam-4513	219	18	]	]	X
ejpam-4513	219	19	≥	≥	NUM
ejpam-4513	219	20	e1	e1	PROPN
ejpam-4513	219	21	[	[	PUNCT
ejpam-4513	219	22	√	√	PROPN
ejpam-4513	219	23	2δg(2	2δg(2	NUM
ejpam-4513	219	24	+	+	SYM
ejpam-4513	219	25	v2	v2	NOUN
ejpam-4513	219	26	)	)	PUNCT
ejpam-4513	219	27	]	]	PUNCT
ejpam-4513	220	1	+	+	CCONJ
ejpam-4513	220	2	2e1	2e1	NUM
ejpam-4513	220	3	√	√	ADV
ejpam-4513	220	4	2	2	NUM
ejpam-4513	220	5	+	+	CCONJ
ejpam-4513	220	6	δg(2	δg(2	PROPN
ejpam-4513	220	7	+	+	CCONJ
ejpam-4513	220	8	v2	v2	NOUN
ejpam-4513	220	9	)	)	PUNCT
ejpam-4513	221	1	+	+	NUM
ejpam-4513	221	2	e1e2	e1e2	NOUN
ejpam-4513	221	3	[	[	PUNCT
ejpam-4513	221	4	√	√	NUM
ejpam-4513	221	5	2(δh	2(δh	NOUN
ejpam-4513	221	6	+	+	CCONJ
ejpam-4513	221	7	2	2	NUM
ejpam-4513	221	8	)	)	PUNCT
ejpam-4513	221	9	]	]	PUNCT
ejpam-4513	222	1	+	+	CCONJ
ejpam-4513	222	2	2v2e1	2v2e1	NUM
ejpam-4513	222	3	√	√	VERB
ejpam-4513	222	4	(	(	PUNCT
ejpam-4513	222	5	δh	δh	ADP
ejpam-4513	222	6	+	+	ADP
ejpam-4513	222	7	2	2	NUM
ejpam-4513	222	8	)	)	PUNCT
ejpam-4513	222	9	+	+	CCONJ
ejpam-4513	222	10	δg(2	δg(2	PROPN
ejpam-4513	222	11	+	+	CCONJ
ejpam-4513	222	12	v2	v2	NOUN
ejpam-4513	222	13	)	)	PUNCT
ejpam-4513	222	14	.	.	PUNCT
ejpam-4513	223	1	proof	proof	NOUN
ejpam-4513	223	2	.	.	PUNCT
ejpam-4513	224	1	using	use	VERB
ejpam-4513	224	2	table	table	NOUN
ejpam-4513	224	3	1	1	NUM
ejpam-4513	224	4	and	and	CCONJ
ejpam-4513	224	5	definition	definition	NOUN
ejpam-4513	224	6	of	of	ADP
ejpam-4513	224	7	nirmala	nirmala	PROPN
ejpam-4513	224	8	index	index	PROPN
ejpam-4513	224	9	,	,	PUNCT
ejpam-4513	224	10	we	we	PRON
ejpam-4513	224	11	have	have	VERB
ejpam-4513	224	12	n	n	PRON
ejpam-4513	224	13	[	[	X
ejpam-4513	224	14	ψ	ψ	X
ejpam-4513	224	15	]	]	X
ejpam-4513	224	16	=	=	PUNCT
ejpam-4513	224	17	∑	∑	PUNCT
ejpam-4513	224	18	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	224	19	]	]	X
ejpam-4513	224	20	√	√	PUNCT
ejpam-4513	224	21	du	du	PROPN
ejpam-4513	224	22	+	+	CCONJ
ejpam-4513	224	23	dv	dv	PROPN
ejpam-4513	224	24	=	=	AUX
ejpam-4513	224	25	e1	e1	PROPN
ejpam-4513	224	26	√	√	NOUN
ejpam-4513	224	27	dg(2	dg(2	NOUN
ejpam-4513	224	28	+	+	SYM
ejpam-4513	224	29	v2	v2	PROPN
ejpam-4513	224	30	)	)	PUNCT
ejpam-4513	225	1	+	+	CCONJ
ejpam-4513	225	2	dg(2	dg(2	PROPN
ejpam-4513	225	3	+	+	SYM
ejpam-4513	225	4	v2	v2	NOUN
ejpam-4513	225	5	)	)	PUNCT
ejpam-4513	226	1	+	+	NOUN
ejpam-4513	226	2	2e1	2e1	NUM
ejpam-4513	226	3	√	√	ADP
ejpam-4513	226	4	2	2	NUM
ejpam-4513	227	1	+	+	SYM
ejpam-4513	227	2	dg(2	dg(2	NOUN
ejpam-4513	227	3	+	+	CCONJ
ejpam-4513	227	4	v2	v2	NOUN
ejpam-4513	227	5	)	)	PUNCT
ejpam-4513	228	1	+	+	NUM
ejpam-4513	228	2	e1e2	e1e2	NOUN
ejpam-4513	228	3	√	√	NUM
ejpam-4513	228	4	(	(	PUNCT
ejpam-4513	228	5	dh	dh	NOUN
ejpam-4513	228	6	+	+	NOUN
ejpam-4513	228	7	2	2	NUM
ejpam-4513	228	8	)	)	PUNCT
ejpam-4513	228	9	+	+	CCONJ
ejpam-4513	228	10	(	(	PUNCT
ejpam-4513	228	11	dh	dh	NOUN
ejpam-4513	228	12	+	+	NOUN
ejpam-4513	228	13	2	2	NUM
ejpam-4513	228	14	)	)	PUNCT
ejpam-4513	228	15	+	+	NUM
ejpam-4513	228	16	2v2e1	2v2e1	NUM
ejpam-4513	228	17	√	√	INTJ
ejpam-4513	228	18	(	(	PUNCT
ejpam-4513	228	19	dh	dh	NOUN
ejpam-4513	228	20	+	+	NOUN
ejpam-4513	228	21	2	2	NUM
ejpam-4513	228	22	)	)	PUNCT
ejpam-4513	228	23	+	+	NUM
ejpam-4513	228	24	dg(2	dg(2	PROPN
ejpam-4513	228	25	+	+	SYM
ejpam-4513	228	26	v2	v2	NOUN
ejpam-4513	228	27	)	)	PUNCT
ejpam-4513	228	28	=	=	SYM
ejpam-4513	228	29	e1[2dg(2	e1[2dg(2	NOUN
ejpam-4513	228	30	+	+	CCONJ
ejpam-4513	228	31	v2	v2	NOUN
ejpam-4513	228	32	)	)	PUNCT
ejpam-4513	228	33	]	]	PUNCT
ejpam-4513	229	1	+	+	CCONJ
ejpam-4513	229	2	2e1	2e1	NUM
ejpam-4513	229	3	√	√	ADV
ejpam-4513	229	4	2	2	NUM
ejpam-4513	229	5	+	+	SYM
ejpam-4513	229	6	dg(2	dg(2	NOUN
ejpam-4513	229	7	+	+	CCONJ
ejpam-4513	229	8	v2	v2	PROPN
ejpam-4513	229	9	)	)	PUNCT
ejpam-4513	229	10	+	+	CCONJ
ejpam-4513	229	11	e1e2[2(dh	e1e2[2(dh	ADJ
ejpam-4513	229	12	+	+	PROPN
ejpam-4513	229	13	2	2	NUM
ejpam-4513	229	14	)	)	PUNCT
ejpam-4513	229	15	]	]	PUNCT
ejpam-4513	230	1	+	+	CCONJ
ejpam-4513	230	2	2v2e1	2v2e1	NUM
ejpam-4513	230	3	√	√	VERB
ejpam-4513	230	4	(	(	PUNCT
ejpam-4513	230	5	dh	dh	NOUN
ejpam-4513	230	6	+	+	NOUN
ejpam-4513	230	7	2	2	NUM
ejpam-4513	230	8	)	)	PUNCT
ejpam-4513	230	9	+	+	NUM
ejpam-4513	230	10	dg(2	dg(2	PROPN
ejpam-4513	230	11	+	+	SYM
ejpam-4513	230	12	v2	v2	PROPN
ejpam-4513	230	13	)	)	PUNCT
ejpam-4513	230	14	n	n	NOUN
ejpam-4513	230	15	[	[	X
ejpam-4513	230	16	ψ	ψ	X
ejpam-4513	230	17	]	]	X
ejpam-4513	230	18	≤	≤	NUM
ejpam-4513	230	19	e1	e1	PROPN
ejpam-4513	230	20	[	[	PUNCT
ejpam-4513	230	21	√	√	NOUN
ejpam-4513	230	22	2∆g(2	2∆g(2	NUM
ejpam-4513	230	23	+	+	SYM
ejpam-4513	230	24	v2	v2	NOUN
ejpam-4513	230	25	)	)	PUNCT
ejpam-4513	230	26	]	]	PUNCT
ejpam-4513	231	1	+	+	CCONJ
ejpam-4513	231	2	2e1	2e1	NUM
ejpam-4513	231	3	√	√	ADP
ejpam-4513	231	4	2	2	NUM
ejpam-4513	231	5	+	+	CCONJ
ejpam-4513	231	6	∆g(2	∆g(2	PRON
ejpam-4513	231	7	+	+	NUM
ejpam-4513	231	8	v2	v2	NOUN
ejpam-4513	231	9	)	)	PUNCT
ejpam-4513	232	1	+	+	NUM
ejpam-4513	232	2	e1e2	e1e2	NOUN
ejpam-4513	232	3	[	[	PUNCT
ejpam-4513	232	4	√	√	NOUN
ejpam-4513	232	5	2(∆h	2(∆h	NUM
ejpam-4513	232	6	+	+	NOUN
ejpam-4513	232	7	2	2	NUM
ejpam-4513	232	8	)	)	PUNCT
ejpam-4513	232	9	]	]	PUNCT
ejpam-4513	233	1	+	+	CCONJ
ejpam-4513	233	2	2v2e1	2v2e1	NUM
ejpam-4513	233	3	√	√	VERB
ejpam-4513	233	4	(	(	PUNCT
ejpam-4513	233	5	∆h	∆h	PROPN
ejpam-4513	233	6	+	+	CCONJ
ejpam-4513	233	7	2	2	NUM
ejpam-4513	233	8	)	)	PUNCT
ejpam-4513	233	9	+	+	NUM
ejpam-4513	233	10	∆g(2	∆g(2	PROPN
ejpam-4513	233	11	+	+	NUM
ejpam-4513	233	12	v2	v2	NOUN
ejpam-4513	233	13	)	)	PUNCT
ejpam-4513	233	14	similarly	similarly	ADV
ejpam-4513	233	15	,	,	PUNCT
ejpam-4513	233	16	n	n	CCONJ
ejpam-4513	233	17	[	[	X
ejpam-4513	233	18	ψ	ψ	X
ejpam-4513	233	19	]	]	X
ejpam-4513	233	20	≥	≥	NUM
ejpam-4513	233	21	e1	e1	PROPN
ejpam-4513	233	22	[	[	PUNCT
ejpam-4513	233	23	√	√	PROPN
ejpam-4513	233	24	2δg(2	2δg(2	NUM
ejpam-4513	233	25	+	+	SYM
ejpam-4513	233	26	v2	v2	NOUN
ejpam-4513	233	27	)	)	PUNCT
ejpam-4513	233	28	]	]	PUNCT
ejpam-4513	234	1	+	+	CCONJ
ejpam-4513	234	2	2e1	2e1	NUM
ejpam-4513	234	3	√	√	ADV
ejpam-4513	234	4	2	2	NUM
ejpam-4513	234	5	+	+	CCONJ
ejpam-4513	234	6	δg(2	δg(2	PROPN
ejpam-4513	234	7	+	+	CCONJ
ejpam-4513	234	8	v2	v2	NOUN
ejpam-4513	234	9	)	)	PUNCT
ejpam-4513	235	1	+	+	NUM
ejpam-4513	235	2	e1e2	e1e2	NOUN
ejpam-4513	235	3	[	[	PUNCT
ejpam-4513	235	4	√	√	NUM
ejpam-4513	235	5	2(δh	2(δh	NOUN
ejpam-4513	235	6	+	+	CCONJ
ejpam-4513	235	7	2	2	NUM
ejpam-4513	235	8	)	)	PUNCT
ejpam-4513	235	9	]	]	PUNCT
ejpam-4513	236	1	+	+	CCONJ
ejpam-4513	236	2	2v2e1	2v2e1	NUM
ejpam-4513	236	3	√	√	VERB
ejpam-4513	236	4	(	(	PUNCT
ejpam-4513	236	5	δh	δh	ADP
ejpam-4513	236	6	+	+	ADP
ejpam-4513	236	7	2	2	NUM
ejpam-4513	236	8	)	)	PUNCT
ejpam-4513	236	9	+	+	CCONJ
ejpam-4513	236	10	δg(2	δg(2	PROPN
ejpam-4513	236	11	+	+	CCONJ
ejpam-4513	236	12	v2	v2	NOUN
ejpam-4513	236	13	)	)	PUNCT
ejpam-4513	236	14	.	.	PUNCT
ejpam-4513	237	1	theorem	theorem	VERB
ejpam-4513	237	2	11	11	NUM
ejpam-4513	237	3	.	.	PUNCT
ejpam-4513	238	1	let	let	VERB
ejpam-4513	238	2	g	g	NOUN
ejpam-4513	238	3	and	and	CCONJ
ejpam-4513	238	4	h	h	NOUN
ejpam-4513	238	5	be	be	VERB
ejpam-4513	238	6	two	two	NUM
ejpam-4513	238	7	simple	simple	ADJ
ejpam-4513	238	8	connected	connected	ADJ
ejpam-4513	238	9	graphs	graph	NOUN
ejpam-4513	238	10	,	,	PUNCT
ejpam-4513	238	11	then	then	ADV
ejpam-4513	238	12	abc[ψ	abc[ψ	PROPN
ejpam-4513	238	13	]	]	X
ejpam-4513	238	14	≥	≥	PRON
ejpam-4513	238	15	e1	e1	PROPN
ejpam-4513	238	16	[	[	X
ejpam-4513	238	17	√	√	ADJ
ejpam-4513	238	18	δg(2+v2	δg(2+v2	NUM
ejpam-4513	238	19	)	)	PUNCT
ejpam-4513	239	1	+	+	CCONJ
ejpam-4513	239	2	δg(2	δg(2	X
ejpam-4513	239	3	+	+	CCONJ
ejpam-4513	239	4	v2)−	v2)−	X
ejpam-4513	239	5	2	2	NUM
ejpam-4513	239	6	δg(2	δg(2	NOUN
ejpam-4513	239	7	+	+	PUNCT
ejpam-4513	239	8	v2)δg(2	v2)δg(2	NOUN
ejpam-4513	239	9	+	+	CCONJ
ejpam-4513	239	10	v2	v2	NOUN
ejpam-4513	239	11	)	)	PUNCT
ejpam-4513	239	12	]	]	PUNCT
ejpam-4513	240	1	+	+	PUNCT
ejpam-4513	240	2	2e1	2e1	NUM
ejpam-4513	240	3	[	[	X
ejpam-4513	240	4	√	√	ADJ
ejpam-4513	240	5	2	2	NUM
ejpam-4513	240	6	+	+	CCONJ
ejpam-4513	240	7	δg(2	δg(2	NOUN
ejpam-4513	240	8	+	+	CCONJ
ejpam-4513	240	9	v2)−	v2)−	X
ejpam-4513	240	10	2	2	NUM
ejpam-4513	240	11	2δg(2	2δg(2	NUM
ejpam-4513	240	12	+	+	SYM
ejpam-4513	240	13	v2	v2	NOUN
ejpam-4513	240	14	)	)	PUNCT
ejpam-4513	240	15	]	]	PUNCT
ejpam-4513	241	1	+	+	PUNCT
ejpam-4513	241	2	e1e2	e1e2	NOUN
ejpam-4513	242	1	[	[	X
ejpam-4513	242	2	√	√	INTJ
ejpam-4513	242	3	(	(	PUNCT
ejpam-4513	242	4	δh	δh	ADP
ejpam-4513	242	5	+	+	ADP
ejpam-4513	242	6	2	2	NUM
ejpam-4513	242	7	)	)	PUNCT
ejpam-4513	242	8	+	+	CCONJ
ejpam-4513	242	9	(	(	PUNCT
ejpam-4513	242	10	δh	δh	ADP
ejpam-4513	242	11	+	+	PROPN
ejpam-4513	242	12	2)−	2)−	NUM
ejpam-4513	242	13	2	2	NUM
ejpam-4513	242	14	(	(	PUNCT
ejpam-4513	242	15	δh	δh	ADP
ejpam-4513	242	16	+	+	ADP
ejpam-4513	242	17	2	2	NUM
ejpam-4513	242	18	)	)	PUNCT
ejpam-4513	242	19	+	+	CCONJ
ejpam-4513	242	20	(	(	PUNCT
ejpam-4513	242	21	δh	δh	ADP
ejpam-4513	242	22	+	+	NOUN
ejpam-4513	242	23	2	2	NUM
ejpam-4513	242	24	)	)	PUNCT
ejpam-4513	242	25	]	]	PUNCT
ejpam-4513	243	1	+	+	CCONJ
ejpam-4513	243	2	2v2e1	2v2e1	NUM
ejpam-4513	243	3	[	[	X
ejpam-4513	243	4	√	√	INTJ
ejpam-4513	243	5	(	(	PUNCT
ejpam-4513	243	6	δh	δh	ADP
ejpam-4513	243	7	+	+	ADP
ejpam-4513	243	8	2	2	NUM
ejpam-4513	243	9	)	)	PUNCT
ejpam-4513	243	10	+	+	CCONJ
ejpam-4513	243	11	δg(2	δg(2	PROPN
ejpam-4513	243	12	+	+	CCONJ
ejpam-4513	243	13	v2)−	v2)−	X
ejpam-4513	243	14	2	2	NUM
ejpam-4513	243	15	(	(	PUNCT
ejpam-4513	243	16	δh	δh	ADP
ejpam-4513	243	17	+	+	ADP
ejpam-4513	243	18	2	2	NUM
ejpam-4513	243	19	)	)	PUNCT
ejpam-4513	243	20	+	+	CCONJ
ejpam-4513	243	21	δg(2	δg(2	PROPN
ejpam-4513	243	22	+	+	CCONJ
ejpam-4513	243	23	v2	v2	NOUN
ejpam-4513	243	24	)	)	PUNCT
ejpam-4513	243	25	]	]	PUNCT
ejpam-4513	243	26	.	.	PUNCT
ejpam-4513	244	1	proof	proof	NOUN
ejpam-4513	244	2	.	.	PUNCT
ejpam-4513	245	1	using	use	VERB
ejpam-4513	245	2	table	table	NOUN
ejpam-4513	245	3	1	1	NUM
ejpam-4513	245	4	and	and	CCONJ
ejpam-4513	245	5	definition	definition	NOUN
ejpam-4513	245	6	of	of	ADP
ejpam-4513	245	7	atombond	atombond	NOUN
ejpam-4513	245	8	connectivity	connectivity	NOUN
ejpam-4513	245	9	index	index	NOUN
ejpam-4513	245	10	,	,	PUNCT
ejpam-4513	245	11	we	we	PRON
ejpam-4513	245	12	have	have	VERB
ejpam-4513	245	13	abc[ψ	abc[ψ	NOUN
ejpam-4513	245	14	]	]	X
ejpam-4513	246	1	=	=	PUNCT
ejpam-4513	246	2	∑	∑	PUNCT
ejpam-4513	246	3	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	246	4	]	]	X
ejpam-4513	246	5	√	√	PUNCT
ejpam-4513	246	6	du	du	PROPN
ejpam-4513	246	7	+	+	CCONJ
ejpam-4513	246	8	dv	dv	PROPN
ejpam-4513	246	9	−	−	PROPN
ejpam-4513	246	10	2	2	NUM
ejpam-4513	246	11	du.dv	du.dv	PROPN
ejpam-4513	246	12	dafik	dafik	NOUN
ejpam-4513	246	13	et	et	PROPN
ejpam-4513	246	14	al	al	PROPN
ejpam-4513	246	15	.	.	PUNCT
ejpam-4513	246	16	/	/	SYM
ejpam-4513	246	17	eur	eur	PROPN
ejpam-4513	246	18	.	.	PUNCT
ejpam-4513	247	1	j.	j.	PROPN
ejpam-4513	247	2	pure	pure	PROPN
ejpam-4513	247	3	appl	appl	PROPN
ejpam-4513	247	4	.	.	PROPN
ejpam-4513	247	5	math	math	PROPN
ejpam-4513	247	6	,	,	PUNCT
ejpam-4513	247	7	16	16	NUM
ejpam-4513	247	8	(	(	PUNCT
ejpam-4513	247	9	2	2	NUM
ejpam-4513	247	10	)	)	PUNCT
ejpam-4513	247	11	(	(	PUNCT
ejpam-4513	247	12	2023	2023	NUM
ejpam-4513	247	13	)	)	PUNCT
ejpam-4513	247	14	,	,	PUNCT
ejpam-4513	247	15	1094	1094	NUM
ejpam-4513	247	16	-	-	SYM
ejpam-4513	247	17	1109	1109	NUM
ejpam-4513	247	18	1103	1103	NUM
ejpam-4513	247	19	=	=	SYM
ejpam-4513	247	20	e1	e1	PROPN
ejpam-4513	247	21	[	[	X
ejpam-4513	247	22	√	√	X
ejpam-4513	247	23	dg(2+v2	dg(2+v2	NUM
ejpam-4513	247	24	)	)	PUNCT
ejpam-4513	248	1	+	+	CCONJ
ejpam-4513	248	2	dg(2	dg(2	NOUN
ejpam-4513	248	3	+	+	CCONJ
ejpam-4513	248	4	v2)−	v2)−	NUM
ejpam-4513	248	5	2	2	NUM
ejpam-4513	248	6	dg(2	dg(2	NOUN
ejpam-4513	248	7	+	+	NUM
ejpam-4513	248	8	v2)dg(2	v2)dg(2	PROPN
ejpam-4513	248	9	+	+	CCONJ
ejpam-4513	248	10	v2	v2	NOUN
ejpam-4513	248	11	)	)	PUNCT
ejpam-4513	248	12	]	]	PUNCT
ejpam-4513	249	1	+	+	PUNCT
ejpam-4513	249	2	2e1	2e1	NUM
ejpam-4513	249	3	[	[	X
ejpam-4513	249	4	√	√	ADJ
ejpam-4513	249	5	2	2	NUM
ejpam-4513	249	6	+	+	SYM
ejpam-4513	249	7	dg(2	dg(2	NOUN
ejpam-4513	249	8	+	+	CCONJ
ejpam-4513	249	9	v2)−	v2)−	PROPN
ejpam-4513	249	10	2	2	NUM
ejpam-4513	249	11	2dg(2	2dg(2	NUM
ejpam-4513	249	12	+	+	SYM
ejpam-4513	249	13	v2	v2	NOUN
ejpam-4513	249	14	)	)	PUNCT
ejpam-4513	249	15	]	]	PUNCT
ejpam-4513	250	1	+	+	PUNCT
ejpam-4513	250	2	e1e2	e1e2	NOUN
ejpam-4513	251	1	[	[	X
ejpam-4513	251	2	√	√	INTJ
ejpam-4513	251	3	(	(	PUNCT
ejpam-4513	251	4	dh	dh	NOUN
ejpam-4513	251	5	+	+	NOUN
ejpam-4513	251	6	2	2	NUM
ejpam-4513	251	7	)	)	PUNCT
ejpam-4513	251	8	+	+	CCONJ
ejpam-4513	251	9	(	(	PUNCT
ejpam-4513	251	10	dh	dh	NOUN
ejpam-4513	251	11	+	+	PROPN
ejpam-4513	251	12	2)−	2)−	NUM
ejpam-4513	251	13	2	2	NUM
ejpam-4513	251	14	(	(	PUNCT
ejpam-4513	251	15	dh	dh	NOUN
ejpam-4513	251	16	+	+	NOUN
ejpam-4513	251	17	2	2	NUM
ejpam-4513	251	18	)	)	PUNCT
ejpam-4513	251	19	+	+	CCONJ
ejpam-4513	251	20	(	(	PUNCT
ejpam-4513	251	21	dh	dh	NOUN
ejpam-4513	251	22	+	+	NOUN
ejpam-4513	251	23	2	2	NUM
ejpam-4513	251	24	)	)	PUNCT
ejpam-4513	251	25	]	]	PUNCT
ejpam-4513	252	1	+	+	CCONJ
ejpam-4513	252	2	2v2e1	2v2e1	NUM
ejpam-4513	252	3	[	[	X
ejpam-4513	252	4	√	√	INTJ
ejpam-4513	252	5	(	(	PUNCT
ejpam-4513	252	6	dh	dh	NOUN
ejpam-4513	252	7	+	+	NOUN
ejpam-4513	252	8	2	2	NUM
ejpam-4513	252	9	)	)	PUNCT
ejpam-4513	252	10	+	+	NUM
ejpam-4513	252	11	dg(2	dg(2	NOUN
ejpam-4513	252	12	+	+	CCONJ
ejpam-4513	252	13	v2)−	v2)−	X
ejpam-4513	252	14	2	2	NUM
ejpam-4513	252	15	(	(	PUNCT
ejpam-4513	252	16	dh	dh	NOUN
ejpam-4513	252	17	+	+	NOUN
ejpam-4513	252	18	2	2	NUM
ejpam-4513	252	19	)	)	PUNCT
ejpam-4513	252	20	+	+	NUM
ejpam-4513	252	21	dg(2	dg(2	PROPN
ejpam-4513	252	22	+	+	SYM
ejpam-4513	252	23	v2	v2	PROPN
ejpam-4513	252	24	)	)	PUNCT
ejpam-4513	252	25	]	]	PUNCT
ejpam-4513	253	1	≥	≥	X
ejpam-4513	253	2	e1	e1	PROPN
ejpam-4513	253	3	[	[	X
ejpam-4513	253	4	√	√	ADJ
ejpam-4513	253	5	δg(2+v2	δg(2+v2	NUM
ejpam-4513	253	6	)	)	PUNCT
ejpam-4513	254	1	+	+	CCONJ
ejpam-4513	254	2	δg(2	δg(2	X
ejpam-4513	254	3	+	+	CCONJ
ejpam-4513	254	4	v2)−	v2)−	X
ejpam-4513	254	5	2	2	NUM
ejpam-4513	254	6	δg(2	δg(2	NOUN
ejpam-4513	254	7	+	+	PUNCT
ejpam-4513	254	8	v2)δg(2	v2)δg(2	NOUN
ejpam-4513	254	9	+	+	CCONJ
ejpam-4513	254	10	v2	v2	NOUN
ejpam-4513	254	11	)	)	PUNCT
ejpam-4513	254	12	]	]	PUNCT
ejpam-4513	255	1	+	+	PUNCT
ejpam-4513	255	2	2e1	2e1	NUM
ejpam-4513	255	3	[	[	X
ejpam-4513	255	4	√	√	ADJ
ejpam-4513	255	5	2	2	NUM
ejpam-4513	255	6	+	+	CCONJ
ejpam-4513	255	7	δg(2	δg(2	NOUN
ejpam-4513	255	8	+	+	CCONJ
ejpam-4513	255	9	v2)−	v2)−	X
ejpam-4513	255	10	2	2	NUM
ejpam-4513	255	11	2δg(2	2δg(2	NUM
ejpam-4513	255	12	+	+	SYM
ejpam-4513	255	13	v2	v2	NOUN
ejpam-4513	255	14	)	)	PUNCT
ejpam-4513	255	15	]	]	PUNCT
ejpam-4513	256	1	+	+	PUNCT
ejpam-4513	256	2	e1e2	e1e2	NOUN
ejpam-4513	257	1	[	[	X
ejpam-4513	257	2	√	√	INTJ
ejpam-4513	257	3	(	(	PUNCT
ejpam-4513	257	4	δh	δh	ADP
ejpam-4513	257	5	+	+	ADP
ejpam-4513	257	6	2	2	NUM
ejpam-4513	257	7	)	)	PUNCT
ejpam-4513	257	8	+	+	CCONJ
ejpam-4513	257	9	(	(	PUNCT
ejpam-4513	257	10	δh	δh	ADP
ejpam-4513	257	11	+	+	PROPN
ejpam-4513	257	12	2)−	2)−	NUM
ejpam-4513	257	13	2	2	NUM
ejpam-4513	257	14	(	(	PUNCT
ejpam-4513	257	15	δh	δh	ADP
ejpam-4513	257	16	+	+	ADP
ejpam-4513	257	17	2	2	NUM
ejpam-4513	257	18	)	)	PUNCT
ejpam-4513	257	19	+	+	CCONJ
ejpam-4513	257	20	(	(	PUNCT
ejpam-4513	257	21	δh	δh	ADP
ejpam-4513	257	22	+	+	NOUN
ejpam-4513	257	23	2	2	NUM
ejpam-4513	257	24	)	)	PUNCT
ejpam-4513	257	25	]	]	PUNCT
ejpam-4513	258	1	+	+	CCONJ
ejpam-4513	258	2	2v2e1	2v2e1	NUM
ejpam-4513	258	3	[	[	X
ejpam-4513	258	4	√	√	INTJ
ejpam-4513	258	5	(	(	PUNCT
ejpam-4513	258	6	δh	δh	ADP
ejpam-4513	258	7	+	+	ADP
ejpam-4513	258	8	2	2	NUM
ejpam-4513	258	9	)	)	PUNCT
ejpam-4513	258	10	+	+	CCONJ
ejpam-4513	258	11	δg(2	δg(2	PROPN
ejpam-4513	258	12	+	+	CCONJ
ejpam-4513	258	13	v2)−	v2)−	X
ejpam-4513	258	14	2	2	NUM
ejpam-4513	258	15	(	(	PUNCT
ejpam-4513	258	16	δh	δh	ADP
ejpam-4513	258	17	+	+	ADP
ejpam-4513	258	18	2	2	NUM
ejpam-4513	258	19	)	)	PUNCT
ejpam-4513	258	20	+	+	CCONJ
ejpam-4513	258	21	δg(2	δg(2	PROPN
ejpam-4513	258	22	+	+	CCONJ
ejpam-4513	258	23	v2	v2	NOUN
ejpam-4513	258	24	)	)	PUNCT
ejpam-4513	258	25	]	]	PUNCT
ejpam-4513	258	26	.	.	PUNCT
ejpam-4513	259	1	theorem	theorem	NOUN
ejpam-4513	259	2	12	12	NUM
ejpam-4513	259	3	.	.	PUNCT
ejpam-4513	260	1	let	let	VERB
ejpam-4513	260	2	g	g	NOUN
ejpam-4513	260	3	and	and	CCONJ
ejpam-4513	260	4	h	h	NOUN
ejpam-4513	260	5	be	be	VERB
ejpam-4513	260	6	two	two	NUM
ejpam-4513	260	7	simple	simple	ADJ
ejpam-4513	260	8	connected	connected	ADJ
ejpam-4513	260	9	graphs	graph	NOUN
ejpam-4513	260	10	,	,	PUNCT
ejpam-4513	260	11	then	then	ADV
ejpam-4513	260	12	rezg2[ψ	rezg2[ψ	PROPN
ejpam-4513	260	13	]	]	X
ejpam-4513	261	1	≥	≥	PROPN
ejpam-4513	261	2	e1	e1	PROPN
ejpam-4513	261	3	[	[	PUNCT
ejpam-4513	261	4	δ2g(2	δ2g(2	PROPN
ejpam-4513	261	5	+	+	CCONJ
ejpam-4513	261	6	v2	v2	PROPN
ejpam-4513	261	7	)	)	PUNCT
ejpam-4513	261	8	2	2	NUM
ejpam-4513	261	9	2δg(2	2δg(2	NUM
ejpam-4513	261	10	+	+	SYM
ejpam-4513	261	11	v2	v2	NOUN
ejpam-4513	261	12	)	)	PUNCT
ejpam-4513	261	13	]	]	PUNCT
ejpam-4513	262	1	+	+	CCONJ
ejpam-4513	262	2	2e1	2e1	NUM
ejpam-4513	262	3	[	[	PUNCT
ejpam-4513	262	4	2δg(2	2δg(2	NUM
ejpam-4513	262	5	+	+	SYM
ejpam-4513	262	6	v2	v2	NOUN
ejpam-4513	262	7	)	)	PUNCT
ejpam-4513	262	8	2	2	NUM
ejpam-4513	262	9	+	+	CCONJ
ejpam-4513	262	10	δg(2	δg(2	PROPN
ejpam-4513	262	11	+	+	X
ejpam-4513	262	12	v2	v2	NOUN
ejpam-4513	262	13	)	)	PUNCT
ejpam-4513	262	14	]	]	PUNCT
ejpam-4513	263	1	+	+	CCONJ
ejpam-4513	263	2	e1e2	e1e2	X
ejpam-4513	263	3	[	[	PUNCT
ejpam-4513	263	4	(	(	PUNCT
ejpam-4513	263	5	δh	δh	ADP
ejpam-4513	263	6	+	+	X
ejpam-4513	263	7	2)2	2)2	NUM
ejpam-4513	263	8	2(δh	2(δh	NUM
ejpam-4513	263	9	+	+	CCONJ
ejpam-4513	263	10	2	2	NUM
ejpam-4513	263	11	)	)	PUNCT
ejpam-4513	263	12	]	]	PUNCT
ejpam-4513	264	1	+	+	CCONJ
ejpam-4513	264	2	2v2e1	2v2e1	NUM
ejpam-4513	264	3	[	[	PUNCT
ejpam-4513	264	4	(	(	PUNCT
ejpam-4513	264	5	δh	δh	ADP
ejpam-4513	264	6	+	+	CCONJ
ejpam-4513	264	7	2)δg(2	2)δg(2	NUM
ejpam-4513	264	8	+	+	SYM
ejpam-4513	264	9	v2	v2	NOUN
ejpam-4513	264	10	)	)	PUNCT
ejpam-4513	264	11	(	(	PUNCT
ejpam-4513	264	12	δh	δh	ADP
ejpam-4513	264	13	+	+	ADP
ejpam-4513	264	14	2	2	NUM
ejpam-4513	264	15	)	)	PUNCT
ejpam-4513	264	16	+	+	CCONJ
ejpam-4513	264	17	δg(2	δg(2	PROPN
ejpam-4513	264	18	+	+	CCONJ
ejpam-4513	264	19	v2	v2	NOUN
ejpam-4513	264	20	)	)	PUNCT
ejpam-4513	264	21	]	]	PUNCT
ejpam-4513	264	22	.	.	PUNCT
ejpam-4513	265	1	proof	proof	NOUN
ejpam-4513	265	2	.	.	PUNCT
ejpam-4513	266	1	using	use	VERB
ejpam-4513	266	2	table	table	NOUN
ejpam-4513	266	3	1	1	NUM
ejpam-4513	266	4	and	and	CCONJ
ejpam-4513	266	5	definition	definition	NOUN
ejpam-4513	266	6	of	of	ADP
ejpam-4513	266	7	redefined	redefine	VERB
ejpam-4513	266	8	second	second	PROPN
ejpam-4513	266	9	zagreb	zagreb	PROPN
ejpam-4513	266	10	index	index	PROPN
ejpam-4513	266	11	,	,	PUNCT
ejpam-4513	266	12	we	we	PRON
ejpam-4513	266	13	have	have	VERB
ejpam-4513	266	14	rezg2[ψ	rezg2[ψ	PROPN
ejpam-4513	266	15	]	]	X
ejpam-4513	266	16	=	=	SYM
ejpam-4513	266	17	∑	∑	PUNCT
ejpam-4513	266	18	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	266	19	]	]	X
ejpam-4513	266	20	du.dv	du.dv	ADJ
ejpam-4513	266	21	du	du	PROPN
ejpam-4513	266	22	+	+	CCONJ
ejpam-4513	266	23	dv	dv	PROPN
ejpam-4513	266	24	=	=	PROPN
ejpam-4513	266	25	e1	e1	PROPN
ejpam-4513	266	26	[	[	PUNCT
ejpam-4513	266	27	d2g(2	d2g(2	PROPN
ejpam-4513	266	28	+	+	CCONJ
ejpam-4513	266	29	v2	v2	NOUN
ejpam-4513	266	30	)	)	PUNCT
ejpam-4513	266	31	2	2	NUM
ejpam-4513	266	32	2dg(2	2dg(2	NUM
ejpam-4513	266	33	+	+	SYM
ejpam-4513	266	34	v2	v2	NOUN
ejpam-4513	266	35	)	)	PUNCT
ejpam-4513	266	36	]	]	PUNCT
ejpam-4513	267	1	+	+	CCONJ
ejpam-4513	267	2	2e1	2e1	NUM
ejpam-4513	267	3	[	[	PUNCT
ejpam-4513	267	4	2dg(2	2dg(2	NUM
ejpam-4513	267	5	+	+	SYM
ejpam-4513	267	6	v2	v2	PROPN
ejpam-4513	267	7	)	)	PUNCT
ejpam-4513	267	8	2	2	NUM
ejpam-4513	267	9	+	+	SYM
ejpam-4513	267	10	dg(2	dg(2	NOUN
ejpam-4513	267	11	+	+	SYM
ejpam-4513	267	12	v2	v2	PROPN
ejpam-4513	267	13	)	)	PUNCT
ejpam-4513	267	14	]	]	PUNCT
ejpam-4513	268	1	+	+	CCONJ
ejpam-4513	268	2	e1e2	e1e2	X
ejpam-4513	268	3	[	[	PUNCT
ejpam-4513	268	4	(	(	PUNCT
ejpam-4513	268	5	dh	dh	NOUN
ejpam-4513	268	6	+	+	CCONJ
ejpam-4513	268	7	2)2	2)2	NUM
ejpam-4513	268	8	2(dh	2(dh	NOUN
ejpam-4513	268	9	+	+	CCONJ
ejpam-4513	268	10	2	2	NUM
ejpam-4513	268	11	)	)	PUNCT
ejpam-4513	268	12	]	]	PUNCT
ejpam-4513	269	1	+	+	CCONJ
ejpam-4513	269	2	2v2e1	2v2e1	NUM
ejpam-4513	269	3	[	[	PUNCT
ejpam-4513	269	4	(	(	PUNCT
ejpam-4513	269	5	dh	dh	NOUN
ejpam-4513	269	6	+	+	CCONJ
ejpam-4513	269	7	2)dg(2	2)dg(2	NUM
ejpam-4513	269	8	+	+	CCONJ
ejpam-4513	269	9	v2	v2	NOUN
ejpam-4513	269	10	)	)	PUNCT
ejpam-4513	269	11	(	(	PUNCT
ejpam-4513	269	12	dh	dh	NOUN
ejpam-4513	269	13	+	+	NOUN
ejpam-4513	269	14	2	2	NUM
ejpam-4513	269	15	)	)	PUNCT
ejpam-4513	269	16	+	+	NUM
ejpam-4513	269	17	dg(2	dg(2	PROPN
ejpam-4513	269	18	+	+	SYM
ejpam-4513	269	19	v2	v2	PROPN
ejpam-4513	269	20	)	)	PUNCT
ejpam-4513	269	21	]	]	PUNCT
ejpam-4513	269	22	rezg2	rezg2	PROPN
ejpam-4513	269	23	≥	≥	X
ejpam-4513	269	24	e1	e1	PROPN
ejpam-4513	269	25	[	[	PUNCT
ejpam-4513	269	26	δ2g(2	δ2g(2	PROPN
ejpam-4513	269	27	+	+	CCONJ
ejpam-4513	269	28	v2	v2	PROPN
ejpam-4513	269	29	)	)	PUNCT
ejpam-4513	269	30	2	2	NUM
ejpam-4513	269	31	2δg(2	2δg(2	NUM
ejpam-4513	269	32	+	+	SYM
ejpam-4513	269	33	v2	v2	NOUN
ejpam-4513	269	34	)	)	PUNCT
ejpam-4513	269	35	]	]	PUNCT
ejpam-4513	270	1	+	+	CCONJ
ejpam-4513	270	2	2e1	2e1	NUM
ejpam-4513	270	3	[	[	PUNCT
ejpam-4513	270	4	2δg(2	2δg(2	NUM
ejpam-4513	270	5	+	+	SYM
ejpam-4513	270	6	v2	v2	NOUN
ejpam-4513	270	7	)	)	PUNCT
ejpam-4513	270	8	2	2	NUM
ejpam-4513	270	9	+	+	CCONJ
ejpam-4513	270	10	δg(2	δg(2	PROPN
ejpam-4513	270	11	+	+	X
ejpam-4513	270	12	v2	v2	NOUN
ejpam-4513	270	13	)	)	PUNCT
ejpam-4513	270	14	]	]	PUNCT
ejpam-4513	271	1	+	+	CCONJ
ejpam-4513	271	2	e1e2	e1e2	X
ejpam-4513	271	3	[	[	PUNCT
ejpam-4513	271	4	(	(	PUNCT
ejpam-4513	271	5	δh	δh	ADP
ejpam-4513	271	6	+	+	X
ejpam-4513	271	7	2)2	2)2	NUM
ejpam-4513	271	8	2(δh	2(δh	NUM
ejpam-4513	271	9	+	+	CCONJ
ejpam-4513	271	10	2	2	NUM
ejpam-4513	271	11	)	)	PUNCT
ejpam-4513	271	12	]	]	PUNCT
ejpam-4513	272	1	+	+	CCONJ
ejpam-4513	272	2	2v2e1	2v2e1	NUM
ejpam-4513	272	3	[	[	PUNCT
ejpam-4513	272	4	(	(	PUNCT
ejpam-4513	272	5	δh	δh	ADP
ejpam-4513	272	6	+	+	CCONJ
ejpam-4513	272	7	2)δg(2	2)δg(2	NUM
ejpam-4513	272	8	+	+	SYM
ejpam-4513	272	9	v2	v2	NOUN
ejpam-4513	272	10	)	)	PUNCT
ejpam-4513	272	11	(	(	PUNCT
ejpam-4513	272	12	δh	δh	ADP
ejpam-4513	272	13	+	+	ADP
ejpam-4513	272	14	2	2	NUM
ejpam-4513	272	15	)	)	PUNCT
ejpam-4513	272	16	+	+	CCONJ
ejpam-4513	272	17	δg(2	δg(2	PROPN
ejpam-4513	272	18	+	+	CCONJ
ejpam-4513	272	19	v2	v2	NOUN
ejpam-4513	272	20	)	)	PUNCT
ejpam-4513	272	21	]	]	PUNCT
ejpam-4513	272	22	.	.	PUNCT
ejpam-4513	273	1	observation	observation	NOUN
ejpam-4513	273	2	:	:	PUNCT
ejpam-4513	273	3	inequality	inequality	NOUN
ejpam-4513	273	4	can	can	AUX
ejpam-4513	273	5	change	change	VERB
ejpam-4513	273	6	when	when	SCONJ
ejpam-4513	273	7	the	the	DET
ejpam-4513	273	8	value	value	NOUN
ejpam-4513	273	9	of	of	ADP
ejpam-4513	273	10	numerator	numerator	NOUN
ejpam-4513	273	11	of	of	ADP
ejpam-4513	273	12	topological	topological	ADJ
ejpam-4513	273	13	indices	index	NOUN
ejpam-4513	273	14	is	be	AUX
ejpam-4513	273	15	less	less	ADJ
ejpam-4513	273	16	than	than	ADP
ejpam-4513	273	17	the	the	DET
ejpam-4513	273	18	value	value	NOUN
ejpam-4513	273	19	of	of	ADP
ejpam-4513	273	20	denominatorof	denominatorof	NOUN
ejpam-4513	273	21	topological	topological	ADJ
ejpam-4513	273	22	indices	index	NOUN
ejpam-4513	273	23	.	.	PUNCT
ejpam-4513	274	1	i.e.	i.e.	X
ejpam-4513	274	2	,	,	PUNCT
ejpam-4513	274	3	∆g	∆g	PROPN
ejpam-4513	274	4	≤	≤	PROPN
ejpam-4513	274	5	degg(g	degg(g	PROPN
ejpam-4513	274	6	)	)	PUNCT
ejpam-4513	274	7	,	,	PUNCT
ejpam-4513	274	8	δg	δg	NUM
ejpam-4513	274	9	≥	≥	NOUN
ejpam-4513	274	10	degg(g	degg(g	PROPN
ejpam-4513	274	11	)	)	PUNCT
ejpam-4513	274	12	dafik	dafik	NOUN
ejpam-4513	274	13	et	et	PROPN
ejpam-4513	274	14	al	al	PROPN
ejpam-4513	274	15	.	.	PUNCT
ejpam-4513	274	16	/	/	SYM
ejpam-4513	274	17	eur	eur	PROPN
ejpam-4513	274	18	.	.	PUNCT
ejpam-4513	275	1	j.	j.	PROPN
ejpam-4513	275	2	pure	pure	PROPN
ejpam-4513	275	3	appl	appl	PROPN
ejpam-4513	275	4	.	.	PROPN
ejpam-4513	275	5	math	math	PROPN
ejpam-4513	275	6	,	,	PUNCT
ejpam-4513	275	7	16	16	NUM
ejpam-4513	275	8	(	(	PUNCT
ejpam-4513	275	9	2	2	NUM
ejpam-4513	275	10	)	)	PUNCT
ejpam-4513	275	11	(	(	PUNCT
ejpam-4513	275	12	2023	2023	NUM
ejpam-4513	275	13	)	)	PUNCT
ejpam-4513	275	14	,	,	PUNCT
ejpam-4513	275	15	1094	1094	NUM
ejpam-4513	275	16	-	-	SYM
ejpam-4513	275	17	1109	1109	NUM
ejpam-4513	275	18	1104	1104	NUM
ejpam-4513	275	19	theorem	theorem	VERB
ejpam-4513	275	20	13	13	NUM
ejpam-4513	275	21	.	.	PUNCT
ejpam-4513	276	1	let	let	VERB
ejpam-4513	276	2	g	g	NOUN
ejpam-4513	276	3	and	and	CCONJ
ejpam-4513	276	4	h	h	NOUN
ejpam-4513	276	5	be	be	VERB
ejpam-4513	276	6	two	two	NUM
ejpam-4513	276	7	simple	simple	ADJ
ejpam-4513	276	8	connected	connected	ADJ
ejpam-4513	276	9	graphs	graph	NOUN
ejpam-4513	276	10	,	,	PUNCT
ejpam-4513	276	11	then	then	ADV
ejpam-4513	276	12	ga[ψ	ga[ψ	PROPN
ejpam-4513	276	13	]	]	PUNCT
ejpam-4513	276	14	≥	≥	PRON
ejpam-4513	276	15	e1	e1	VERB
ejpam-4513	276	16	[	[	X
ejpam-4513	276	17	2√∆2	2√∆2	PROPN
ejpam-4513	276	18	g(2	g(2	PROPN
ejpam-4513	276	19	+	+	CCONJ
ejpam-4513	276	20	v2)2	v2)2	NUM
ejpam-4513	276	21	2∆g(2	2∆g(2	NUM
ejpam-4513	276	22	+	+	CCONJ
ejpam-4513	276	23	v2	v2	NOUN
ejpam-4513	276	24	)	)	PUNCT
ejpam-4513	276	25	]	]	PUNCT
ejpam-4513	277	1	+	+	CCONJ
ejpam-4513	277	2	2e1	2e1	NUM
ejpam-4513	277	3	[	[	PUNCT
ejpam-4513	277	4	2	2	NUM
ejpam-4513	277	5	√	√	NUM
ejpam-4513	277	6	2∆g(2	2∆g(2	NUM
ejpam-4513	277	7	+	+	CCONJ
ejpam-4513	277	8	v2	v2	NOUN
ejpam-4513	277	9	)	)	PUNCT
ejpam-4513	277	10	2	2	NUM
ejpam-4513	277	11	+	+	CCONJ
ejpam-4513	277	12	∆g(2	∆g(2	PROPN
ejpam-4513	277	13	+	+	NUM
ejpam-4513	277	14	v2	v2	NOUN
ejpam-4513	277	15	)	)	PUNCT
ejpam-4513	277	16	]	]	PUNCT
ejpam-4513	278	1	+	+	CCONJ
ejpam-4513	278	2	e1e2	e1e2	X
ejpam-4513	278	3	[	[	PUNCT
ejpam-4513	278	4	2	2	NUM
ejpam-4513	278	5	√	√	PROPN
ejpam-4513	278	6	(	(	PUNCT
ejpam-4513	278	7	∆h	∆h	PROPN
ejpam-4513	278	8	+	+	CCONJ
ejpam-4513	278	9	2)2	2)2	NUM
ejpam-4513	278	10	2(∆h	2(∆h	NUM
ejpam-4513	278	11	+	+	CCONJ
ejpam-4513	278	12	2	2	NUM
ejpam-4513	278	13	)	)	PUNCT
ejpam-4513	278	14	]	]	PUNCT
ejpam-4513	279	1	+	+	CCONJ
ejpam-4513	279	2	2v2e1	2v2e1	NUM
ejpam-4513	279	3	[	[	PUNCT
ejpam-4513	279	4	2	2	NUM
ejpam-4513	279	5	√	√	PROPN
ejpam-4513	279	6	(	(	PUNCT
ejpam-4513	279	7	∆h	∆h	PROPN
ejpam-4513	279	8	+	+	NUM
ejpam-4513	279	9	2)∆g(2	2)∆g(2	NUM
ejpam-4513	279	10	+	+	CCONJ
ejpam-4513	279	11	v2	v2	NOUN
ejpam-4513	279	12	)	)	PUNCT
ejpam-4513	279	13	(	(	PUNCT
ejpam-4513	279	14	∆h	∆h	NOUN
ejpam-4513	279	15	+	+	CCONJ
ejpam-4513	279	16	2	2	NUM
ejpam-4513	279	17	)	)	PUNCT
ejpam-4513	279	18	+	+	NUM
ejpam-4513	279	19	∆g(2	∆g(2	PROPN
ejpam-4513	279	20	+	+	NUM
ejpam-4513	279	21	v2	v2	PROPN
ejpam-4513	279	22	)	)	PUNCT
ejpam-4513	279	23	]	]	PUNCT
ejpam-4513	279	24	and	and	CCONJ
ejpam-4513	279	25	ga[ψ	ga[ψ	PROPN
ejpam-4513	279	26	]	]	PUNCT
ejpam-4513	279	27	≤	≤	NUM
ejpam-4513	279	28	e1	e1	NOUN
ejpam-4513	279	29	[	[	PUNCT
ejpam-4513	279	30	2√δ2g(2	2√δ2g(2	NUM
ejpam-4513	279	31	+	+	CCONJ
ejpam-4513	279	32	v2)2	v2)2	NUM
ejpam-4513	279	33	2δg(2	2δg(2	NUM
ejpam-4513	279	34	+	+	CCONJ
ejpam-4513	279	35	v2	v2	NOUN
ejpam-4513	279	36	)	)	PUNCT
ejpam-4513	279	37	]	]	PUNCT
ejpam-4513	280	1	+	+	CCONJ
ejpam-4513	280	2	2e1	2e1	NUM
ejpam-4513	280	3	[	[	PUNCT
ejpam-4513	280	4	2	2	NUM
ejpam-4513	280	5	√	√	NUM
ejpam-4513	280	6	2δg(2	2δg(2	NUM
ejpam-4513	280	7	+	+	SYM
ejpam-4513	280	8	v2	v2	NOUN
ejpam-4513	280	9	)	)	PUNCT
ejpam-4513	280	10	2	2	NUM
ejpam-4513	280	11	+	+	CCONJ
ejpam-4513	280	12	δg(2	δg(2	PROPN
ejpam-4513	280	13	+	+	X
ejpam-4513	280	14	v2	v2	NOUN
ejpam-4513	280	15	)	)	PUNCT
ejpam-4513	280	16	]	]	PUNCT
ejpam-4513	281	1	+	+	CCONJ
ejpam-4513	281	2	e1e2	e1e2	X
ejpam-4513	281	3	[	[	PUNCT
ejpam-4513	281	4	2	2	NUM
ejpam-4513	281	5	√	√	NUM
ejpam-4513	281	6	(	(	PUNCT
ejpam-4513	281	7	δh	δh	ADP
ejpam-4513	281	8	+	+	CCONJ
ejpam-4513	281	9	2)2	2)2	NUM
ejpam-4513	281	10	2(δh	2(δh	NUM
ejpam-4513	281	11	+	+	CCONJ
ejpam-4513	281	12	2	2	NUM
ejpam-4513	281	13	)	)	PUNCT
ejpam-4513	281	14	]	]	PUNCT
ejpam-4513	282	1	+	+	CCONJ
ejpam-4513	282	2	2v2e1	2v2e1	NUM
ejpam-4513	282	3	[	[	PUNCT
ejpam-4513	282	4	2	2	NUM
ejpam-4513	282	5	√	√	NUM
ejpam-4513	282	6	(	(	PUNCT
ejpam-4513	282	7	δh	δh	ADP
ejpam-4513	282	8	+	+	CCONJ
ejpam-4513	282	9	2)δg(2	2)δg(2	NUM
ejpam-4513	282	10	+	+	SYM
ejpam-4513	282	11	v2	v2	NOUN
ejpam-4513	282	12	)	)	PUNCT
ejpam-4513	282	13	(	(	PUNCT
ejpam-4513	282	14	δh	δh	ADP
ejpam-4513	282	15	+	+	ADP
ejpam-4513	282	16	2	2	NUM
ejpam-4513	282	17	)	)	PUNCT
ejpam-4513	282	18	+	+	CCONJ
ejpam-4513	282	19	δg(2	δg(2	PROPN
ejpam-4513	282	20	+	+	CCONJ
ejpam-4513	282	21	v2	v2	NOUN
ejpam-4513	282	22	)	)	PUNCT
ejpam-4513	282	23	]	]	PUNCT
ejpam-4513	282	24	.	.	PUNCT
ejpam-4513	283	1	proof	proof	NOUN
ejpam-4513	283	2	.	.	PUNCT
ejpam-4513	284	1	using	use	VERB
ejpam-4513	284	2	table	table	NOUN
ejpam-4513	284	3	1	1	NUM
ejpam-4513	284	4	and	and	CCONJ
ejpam-4513	284	5	the	the	DET
ejpam-4513	284	6	definition	definition	NOUN
ejpam-4513	284	7	of	of	ADP
ejpam-4513	284	8	geometric	geometric	ADJ
ejpam-4513	284	9	-	-	PUNCT
ejpam-4513	284	10	arithmetic	arithmetic	ADJ
ejpam-4513	284	11	index	index	NOUN
ejpam-4513	284	12	,	,	PUNCT
ejpam-4513	284	13	we	we	PRON
ejpam-4513	284	14	have	have	VERB
ejpam-4513	284	15	ga[ψ	ga[ψ	PROPN
ejpam-4513	284	16	]	]	X
ejpam-4513	284	17	=	=	PUNCT
ejpam-4513	284	18	∑	∑	PUNCT
ejpam-4513	284	19	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	284	20	]	]	X
ejpam-4513	284	21	2	2	NUM
ejpam-4513	284	22	√	√	NOUN
ejpam-4513	284	23	du.dv	du.dv	PROPN
ejpam-4513	284	24	du	du	PROPN
ejpam-4513	284	25	+	+	CCONJ
ejpam-4513	284	26	dv	dv	PROPN
ejpam-4513	284	27	=	=	PROPN
ejpam-4513	284	28	e1	e1	PROPN
ejpam-4513	284	29	[	[	PUNCT
ejpam-4513	284	30	2	2	NUM
ejpam-4513	284	31	√	√	NUM
ejpam-4513	284	32	dg(2	dg(2	NOUN
ejpam-4513	284	33	+	+	CCONJ
ejpam-4513	284	34	v2).dg(2	v2).dg(2	NOUN
ejpam-4513	284	35	+	+	CCONJ
ejpam-4513	284	36	v2	v2	NOUN
ejpam-4513	284	37	)	)	PUNCT
ejpam-4513	284	38	dg(2	dg(2	PROPN
ejpam-4513	284	39	+	+	SYM
ejpam-4513	284	40	v2	v2	PROPN
ejpam-4513	284	41	)	)	PUNCT
ejpam-4513	285	1	+	+	CCONJ
ejpam-4513	285	2	dg(2	dg(2	PROPN
ejpam-4513	285	3	+	+	SYM
ejpam-4513	285	4	v2	v2	PROPN
ejpam-4513	285	5	)	)	PUNCT
ejpam-4513	285	6	]	]	PUNCT
ejpam-4513	286	1	+	+	CCONJ
ejpam-4513	286	2	2e1	2e1	NUM
ejpam-4513	286	3	[	[	PUNCT
ejpam-4513	286	4	2	2	NUM
ejpam-4513	286	5	√	√	NUM
ejpam-4513	286	6	2dg(2	2dg(2	NUM
ejpam-4513	286	7	+	+	CCONJ
ejpam-4513	286	8	v2	v2	PROPN
ejpam-4513	286	9	)	)	PUNCT
ejpam-4513	286	10	2	2	NUM
ejpam-4513	286	11	+	+	SYM
ejpam-4513	286	12	dg(2	dg(2	NOUN
ejpam-4513	286	13	+	+	SYM
ejpam-4513	286	14	v2	v2	PROPN
ejpam-4513	286	15	)	)	PUNCT
ejpam-4513	286	16	]	]	PUNCT
ejpam-4513	287	1	+	+	CCONJ
ejpam-4513	287	2	e1e2	e1e2	X
ejpam-4513	287	3	[	[	PUNCT
ejpam-4513	287	4	2	2	NUM
ejpam-4513	287	5	√	√	PROPN
ejpam-4513	287	6	(	(	PUNCT
ejpam-4513	287	7	dh	dh	NOUN
ejpam-4513	287	8	+	+	NOUN
ejpam-4513	287	9	2).(dh	2).(dh	NUM
ejpam-4513	287	10	+	+	CCONJ
ejpam-4513	287	11	2	2	NUM
ejpam-4513	287	12	)	)	PUNCT
ejpam-4513	287	13	(	(	PUNCT
ejpam-4513	287	14	dh	dh	NOUN
ejpam-4513	287	15	+	+	NOUN
ejpam-4513	287	16	2	2	NUM
ejpam-4513	287	17	)	)	PUNCT
ejpam-4513	287	18	+	+	CCONJ
ejpam-4513	287	19	(	(	PUNCT
ejpam-4513	287	20	dh	dh	NOUN
ejpam-4513	287	21	+	+	NOUN
ejpam-4513	287	22	2	2	NUM
ejpam-4513	287	23	)	)	PUNCT
ejpam-4513	287	24	]	]	PUNCT
ejpam-4513	288	1	+	+	CCONJ
ejpam-4513	288	2	2v2e1	2v2e1	NUM
ejpam-4513	288	3	[	[	PUNCT
ejpam-4513	288	4	2	2	NUM
ejpam-4513	288	5	√	√	NUM
ejpam-4513	288	6	(	(	PUNCT
ejpam-4513	288	7	dh	dh	NOUN
ejpam-4513	288	8	+	+	CCONJ
ejpam-4513	288	9	2)dg(2	2)dg(2	NUM
ejpam-4513	288	10	+	+	CCONJ
ejpam-4513	288	11	v2	v2	NOUN
ejpam-4513	288	12	)	)	PUNCT
ejpam-4513	288	13	(	(	PUNCT
ejpam-4513	288	14	dh	dh	NOUN
ejpam-4513	288	15	+	+	NOUN
ejpam-4513	288	16	2	2	NUM
ejpam-4513	288	17	)	)	PUNCT
ejpam-4513	288	18	+	+	NUM
ejpam-4513	288	19	dg(2	dg(2	PROPN
ejpam-4513	288	20	+	+	SYM
ejpam-4513	288	21	v2	v2	PROPN
ejpam-4513	288	22	)	)	PUNCT
ejpam-4513	288	23	]	]	PUNCT
ejpam-4513	289	1	=	=	PUNCT
ejpam-4513	289	2	e1	e1	PROPN
ejpam-4513	289	3	[	[	PUNCT
ejpam-4513	289	4	2√d2g(2	2√d2g(2	NUM
ejpam-4513	289	5	+	+	CCONJ
ejpam-4513	289	6	v2)2	v2)2	NUM
ejpam-4513	289	7	2dg(2	2dg(2	NUM
ejpam-4513	289	8	+	+	CCONJ
ejpam-4513	289	9	v2	v2	PROPN
ejpam-4513	289	10	)	)	PUNCT
ejpam-4513	289	11	]	]	PUNCT
ejpam-4513	290	1	+	+	CCONJ
ejpam-4513	290	2	2e1	2e1	NUM
ejpam-4513	290	3	[	[	PUNCT
ejpam-4513	290	4	2	2	NUM
ejpam-4513	290	5	√	√	NUM
ejpam-4513	290	6	2dg(2	2dg(2	NUM
ejpam-4513	290	7	+	+	CCONJ
ejpam-4513	290	8	v2	v2	PROPN
ejpam-4513	290	9	)	)	PUNCT
ejpam-4513	290	10	2	2	NUM
ejpam-4513	290	11	+	+	SYM
ejpam-4513	290	12	dg(2	dg(2	NOUN
ejpam-4513	290	13	+	+	SYM
ejpam-4513	290	14	v2	v2	PROPN
ejpam-4513	290	15	)	)	PUNCT
ejpam-4513	290	16	]	]	PUNCT
ejpam-4513	291	1	+	+	CCONJ
ejpam-4513	291	2	e1e2	e1e2	X
ejpam-4513	291	3	[	[	PUNCT
ejpam-4513	291	4	2	2	NUM
ejpam-4513	291	5	√	√	NUM
ejpam-4513	291	6	(	(	PUNCT
ejpam-4513	291	7	dh	dh	NOUN
ejpam-4513	291	8	+	+	CCONJ
ejpam-4513	291	9	2)2	2)2	NUM
ejpam-4513	291	10	2(dh	2(dh	NOUN
ejpam-4513	291	11	+	+	CCONJ
ejpam-4513	291	12	2	2	NUM
ejpam-4513	291	13	)	)	PUNCT
ejpam-4513	291	14	]	]	PUNCT
ejpam-4513	292	1	+	+	CCONJ
ejpam-4513	292	2	2v2e1	2v2e1	NUM
ejpam-4513	292	3	[	[	PUNCT
ejpam-4513	292	4	2	2	NUM
ejpam-4513	292	5	√	√	NUM
ejpam-4513	292	6	(	(	PUNCT
ejpam-4513	292	7	dh	dh	NOUN
ejpam-4513	292	8	+	+	CCONJ
ejpam-4513	292	9	2)dg(2	2)dg(2	NUM
ejpam-4513	292	10	+	+	CCONJ
ejpam-4513	292	11	v2	v2	NOUN
ejpam-4513	292	12	)	)	PUNCT
ejpam-4513	292	13	(	(	PUNCT
ejpam-4513	292	14	dh	dh	NOUN
ejpam-4513	292	15	+	+	NOUN
ejpam-4513	292	16	2	2	NUM
ejpam-4513	292	17	)	)	PUNCT
ejpam-4513	292	18	+	+	NUM
ejpam-4513	292	19	dg(2	dg(2	PROPN
ejpam-4513	292	20	+	+	SYM
ejpam-4513	292	21	v2	v2	PROPN
ejpam-4513	292	22	)	)	PUNCT
ejpam-4513	292	23	]	]	PUNCT
ejpam-4513	293	1	ga[ψ	ga[ψ	PROPN
ejpam-4513	293	2	]	]	PUNCT
ejpam-4513	293	3	≥	≥	PRON
ejpam-4513	293	4	e1	e1	VERB
ejpam-4513	293	5	[	[	X
ejpam-4513	293	6	2√∆2	2√∆2	PROPN
ejpam-4513	293	7	g(2	g(2	PROPN
ejpam-4513	293	8	+	+	CCONJ
ejpam-4513	293	9	v2)2	v2)2	NUM
ejpam-4513	293	10	2∆g(2	2∆g(2	NUM
ejpam-4513	293	11	+	+	CCONJ
ejpam-4513	293	12	v2	v2	NOUN
ejpam-4513	293	13	)	)	PUNCT
ejpam-4513	293	14	]	]	PUNCT
ejpam-4513	294	1	+	+	CCONJ
ejpam-4513	294	2	2e1	2e1	NUM
ejpam-4513	294	3	[	[	PUNCT
ejpam-4513	294	4	2	2	NUM
ejpam-4513	294	5	√	√	NUM
ejpam-4513	294	6	2∆g(2	2∆g(2	NUM
ejpam-4513	294	7	+	+	CCONJ
ejpam-4513	294	8	v2	v2	NOUN
ejpam-4513	294	9	)	)	PUNCT
ejpam-4513	294	10	2	2	NUM
ejpam-4513	294	11	+	+	CCONJ
ejpam-4513	294	12	∆g(2	∆g(2	PROPN
ejpam-4513	294	13	+	+	NUM
ejpam-4513	294	14	v2	v2	NOUN
ejpam-4513	294	15	)	)	PUNCT
ejpam-4513	294	16	]	]	PUNCT
ejpam-4513	295	1	+	+	CCONJ
ejpam-4513	295	2	e1e2	e1e2	X
ejpam-4513	295	3	[	[	PUNCT
ejpam-4513	295	4	2	2	NUM
ejpam-4513	295	5	√	√	PROPN
ejpam-4513	295	6	(	(	PUNCT
ejpam-4513	295	7	∆h	∆h	PROPN
ejpam-4513	295	8	+	+	CCONJ
ejpam-4513	295	9	2)2	2)2	NUM
ejpam-4513	295	10	2(∆h	2(∆h	NUM
ejpam-4513	295	11	+	+	CCONJ
ejpam-4513	295	12	2	2	NUM
ejpam-4513	295	13	)	)	PUNCT
ejpam-4513	295	14	]	]	PUNCT
ejpam-4513	296	1	+	+	CCONJ
ejpam-4513	296	2	2v2e1	2v2e1	NUM
ejpam-4513	296	3	[	[	PUNCT
ejpam-4513	296	4	2	2	NUM
ejpam-4513	296	5	√	√	PROPN
ejpam-4513	296	6	(	(	PUNCT
ejpam-4513	296	7	∆h	∆h	PROPN
ejpam-4513	296	8	+	+	NUM
ejpam-4513	296	9	2)∆g(2	2)∆g(2	NUM
ejpam-4513	296	10	+	+	CCONJ
ejpam-4513	296	11	v2	v2	NOUN
ejpam-4513	296	12	)	)	PUNCT
ejpam-4513	296	13	(	(	PUNCT
ejpam-4513	296	14	∆h	∆h	NOUN
ejpam-4513	296	15	+	+	CCONJ
ejpam-4513	296	16	2	2	NUM
ejpam-4513	296	17	)	)	PUNCT
ejpam-4513	296	18	+	+	NUM
ejpam-4513	296	19	∆g(2	∆g(2	PROPN
ejpam-4513	296	20	+	+	NUM
ejpam-4513	296	21	v2	v2	NOUN
ejpam-4513	296	22	)	)	PUNCT
ejpam-4513	296	23	]	]	PUNCT
ejpam-4513	296	24	similarly	similarly	ADV
ejpam-4513	296	25	,	,	PUNCT
ejpam-4513	296	26	ga[ψ	ga[ψ	PROPN
ejpam-4513	296	27	]	]	PUNCT
ejpam-4513	296	28	≤	≤	NUM
ejpam-4513	296	29	e1	e1	NOUN
ejpam-4513	296	30	[	[	PUNCT
ejpam-4513	296	31	2√δ2g(2	2√δ2g(2	NUM
ejpam-4513	296	32	+	+	CCONJ
ejpam-4513	296	33	v2)2	v2)2	NUM
ejpam-4513	296	34	2δg(2	2δg(2	NUM
ejpam-4513	296	35	+	+	CCONJ
ejpam-4513	296	36	v2	v2	NOUN
ejpam-4513	296	37	)	)	PUNCT
ejpam-4513	296	38	]	]	PUNCT
ejpam-4513	297	1	+	+	CCONJ
ejpam-4513	297	2	2e1	2e1	NUM
ejpam-4513	297	3	[	[	PUNCT
ejpam-4513	297	4	2	2	NUM
ejpam-4513	297	5	√	√	NUM
ejpam-4513	297	6	2δg(2	2δg(2	NUM
ejpam-4513	297	7	+	+	SYM
ejpam-4513	297	8	v2	v2	NOUN
ejpam-4513	297	9	)	)	PUNCT
ejpam-4513	297	10	2	2	NUM
ejpam-4513	297	11	+	+	CCONJ
ejpam-4513	297	12	δg(2	δg(2	PROPN
ejpam-4513	297	13	+	+	X
ejpam-4513	297	14	v2	v2	NOUN
ejpam-4513	297	15	)	)	PUNCT
ejpam-4513	297	16	]	]	PUNCT
ejpam-4513	298	1	+	+	CCONJ
ejpam-4513	298	2	e1e2	e1e2	X
ejpam-4513	298	3	[	[	PUNCT
ejpam-4513	298	4	2	2	NUM
ejpam-4513	298	5	√	√	NUM
ejpam-4513	298	6	(	(	PUNCT
ejpam-4513	298	7	δh	δh	ADP
ejpam-4513	298	8	+	+	CCONJ
ejpam-4513	298	9	2)2	2)2	NUM
ejpam-4513	298	10	2(δh	2(δh	NUM
ejpam-4513	298	11	+	+	CCONJ
ejpam-4513	298	12	2	2	NUM
ejpam-4513	298	13	)	)	PUNCT
ejpam-4513	298	14	]	]	PUNCT
ejpam-4513	299	1	+	+	CCONJ
ejpam-4513	299	2	2v2e1	2v2e1	NUM
ejpam-4513	299	3	[	[	PUNCT
ejpam-4513	299	4	2	2	NUM
ejpam-4513	299	5	√	√	NUM
ejpam-4513	299	6	(	(	PUNCT
ejpam-4513	299	7	δh	δh	ADP
ejpam-4513	299	8	+	+	CCONJ
ejpam-4513	299	9	2)δg(2	2)δg(2	NUM
ejpam-4513	299	10	+	+	SYM
ejpam-4513	299	11	v2	v2	NOUN
ejpam-4513	299	12	)	)	PUNCT
ejpam-4513	299	13	(	(	PUNCT
ejpam-4513	299	14	δh	δh	ADP
ejpam-4513	299	15	+	+	ADP
ejpam-4513	299	16	2	2	NUM
ejpam-4513	299	17	)	)	PUNCT
ejpam-4513	299	18	+	+	CCONJ
ejpam-4513	299	19	δg(2	δg(2	PROPN
ejpam-4513	299	20	+	+	CCONJ
ejpam-4513	299	21	v2	v2	NOUN
ejpam-4513	299	22	)	)	PUNCT
ejpam-4513	299	23	]	]	PUNCT
ejpam-4513	299	24	.	.	PUNCT
ejpam-4513	300	1	theorem	theorem	ADJ
ejpam-4513	300	2	14	14	NUM
ejpam-4513	300	3	.	.	PUNCT
ejpam-4513	301	1	let	let	VERB
ejpam-4513	301	2	g	g	NOUN
ejpam-4513	301	3	and	and	CCONJ
ejpam-4513	301	4	h	h	NOUN
ejpam-4513	301	5	be	be	VERB
ejpam-4513	301	6	two	two	NUM
ejpam-4513	301	7	simple	simple	ADJ
ejpam-4513	301	8	connected	connected	ADJ
ejpam-4513	301	9	graphs	graph	NOUN
ejpam-4513	301	10	,	,	PUNCT
ejpam-4513	301	11	then	then	ADV
ejpam-4513	301	12	h[ψ	h[ψ	ADJ
ejpam-4513	301	13	]	]	PUNCT
ejpam-4513	301	14	≥	≥	PROPN
ejpam-4513	301	15	e1	e1	PROPN
ejpam-4513	301	16	[	[	PUNCT
ejpam-4513	301	17	e1	e1	PROPN
ejpam-4513	301	18	∆g(2	∆g(2	PROPN
ejpam-4513	301	19	+	+	CCONJ
ejpam-4513	301	20	v2	v2	PROPN
ejpam-4513	301	21	)	)	PUNCT
ejpam-4513	301	22	]	]	PUNCT
ejpam-4513	302	1	+	+	CCONJ
ejpam-4513	302	2	[	[	PUNCT
ejpam-4513	302	3	4e1	4e1	NUM
ejpam-4513	302	4	2	2	NUM
ejpam-4513	302	5	+	+	CCONJ
ejpam-4513	302	6	∆g(2	∆g(2	PROPN
ejpam-4513	302	7	+	+	NUM
ejpam-4513	302	8	v2	v2	NOUN
ejpam-4513	302	9	)	)	PUNCT
ejpam-4513	302	10	]	]	PUNCT
ejpam-4513	303	1	+	+	CCONJ
ejpam-4513	303	2	[	[	PUNCT
ejpam-4513	303	3	e1e2	e1e2	X
ejpam-4513	303	4	(	(	PUNCT
ejpam-4513	303	5	∆h	∆h	PROPN
ejpam-4513	303	6	+	+	CCONJ
ejpam-4513	303	7	2	2	NUM
ejpam-4513	303	8	)	)	PUNCT
ejpam-4513	303	9	]	]	PUNCT
ejpam-4513	304	1	+	+	CCONJ
ejpam-4513	304	2	[	[	PUNCT
ejpam-4513	304	3	4v2e1	4v2e1	ADJ
ejpam-4513	304	4	∆h	∆h	PROPN
ejpam-4513	304	5	+	+	CCONJ
ejpam-4513	304	6	2	2	NUM
ejpam-4513	304	7	+	+	ADJ
ejpam-4513	304	8	∆g(2	∆g(2	X
ejpam-4513	304	9	+	+	NUM
ejpam-4513	304	10	v2	v2	NOUN
ejpam-4513	304	11	)	)	PUNCT
ejpam-4513	304	12	]	]	PUNCT
ejpam-4513	304	13	dafik	dafik	VERB
ejpam-4513	304	14	et	et	PROPN
ejpam-4513	304	15	al	al	PROPN
ejpam-4513	304	16	.	.	PUNCT
ejpam-4513	304	17	/	/	SYM
ejpam-4513	304	18	eur	eur	PROPN
ejpam-4513	304	19	.	.	PUNCT
ejpam-4513	305	1	j.	j.	PROPN
ejpam-4513	305	2	pure	pure	PROPN
ejpam-4513	305	3	appl	appl	PROPN
ejpam-4513	305	4	.	.	PROPN
ejpam-4513	305	5	math	math	PROPN
ejpam-4513	305	6	,	,	PUNCT
ejpam-4513	305	7	16	16	NUM
ejpam-4513	305	8	(	(	PUNCT
ejpam-4513	305	9	2	2	NUM
ejpam-4513	305	10	)	)	PUNCT
ejpam-4513	305	11	(	(	PUNCT
ejpam-4513	305	12	2023	2023	NUM
ejpam-4513	305	13	)	)	PUNCT
ejpam-4513	305	14	,	,	PUNCT
ejpam-4513	305	15	1094	1094	NUM
ejpam-4513	305	16	-	-	SYM
ejpam-4513	305	17	1109	1109	NUM
ejpam-4513	305	18	1105	1105	NUM
ejpam-4513	305	19	and	and	CCONJ
ejpam-4513	305	20	h[ψ	h[ψ	ADJ
ejpam-4513	305	21	]	]	PUNCT
ejpam-4513	305	22	≤	≤	NUM
ejpam-4513	305	23	e1	e1	PROPN
ejpam-4513	305	24	[	[	PUNCT
ejpam-4513	305	25	e1	e1	NOUN
ejpam-4513	305	26	δg(2	δg(2	X
ejpam-4513	305	27	+	+	CCONJ
ejpam-4513	305	28	v2	v2	PROPN
ejpam-4513	305	29	)	)	PUNCT
ejpam-4513	305	30	]	]	PUNCT
ejpam-4513	306	1	+	+	CCONJ
ejpam-4513	306	2	[	[	PUNCT
ejpam-4513	306	3	4e1	4e1	NUM
ejpam-4513	306	4	2	2	NUM
ejpam-4513	306	5	+	+	X
ejpam-4513	306	6	δg(2	δg(2	PROPN
ejpam-4513	306	7	+	+	X
ejpam-4513	306	8	v2	v2	NOUN
ejpam-4513	306	9	)	)	PUNCT
ejpam-4513	306	10	]	]	PUNCT
ejpam-4513	307	1	+	+	CCONJ
ejpam-4513	307	2	[	[	PUNCT
ejpam-4513	307	3	e1e2	e1e2	NOUN
ejpam-4513	307	4	(	(	PUNCT
ejpam-4513	307	5	δh	δh	ADP
ejpam-4513	307	6	+	+	ADP
ejpam-4513	307	7	2	2	NUM
ejpam-4513	307	8	)	)	PUNCT
ejpam-4513	307	9	]	]	PUNCT
ejpam-4513	308	1	+	+	CCONJ
ejpam-4513	308	2	[	[	PUNCT
ejpam-4513	308	3	4v2e1	4v2e1	X
ejpam-4513	308	4	δh	δh	ADP
ejpam-4513	308	5	+	+	CCONJ
ejpam-4513	308	6	2	2	NUM
ejpam-4513	308	7	+	+	CCONJ
ejpam-4513	308	8	δg(2	δg(2	PROPN
ejpam-4513	308	9	+	+	X
ejpam-4513	308	10	v2	v2	NOUN
ejpam-4513	308	11	)	)	PUNCT
ejpam-4513	308	12	]	]	PUNCT
ejpam-4513	308	13	.	.	PUNCT
ejpam-4513	309	1	proof	proof	NOUN
ejpam-4513	309	2	.	.	PUNCT
ejpam-4513	310	1	using	use	VERB
ejpam-4513	310	2	table	table	NOUN
ejpam-4513	310	3	1	1	NUM
ejpam-4513	310	4	and	and	CCONJ
ejpam-4513	310	5	definition	definition	NOUN
ejpam-4513	310	6	of	of	ADP
ejpam-4513	310	7	harmonic	harmonic	ADJ
ejpam-4513	310	8	index	index	NOUN
ejpam-4513	310	9	,	,	PUNCT
ejpam-4513	310	10	we	we	PRON
ejpam-4513	310	11	have	have	VERB
ejpam-4513	310	12	h[ψ	h[ψ	ADV
ejpam-4513	310	13	]	]	PUNCT
ejpam-4513	310	14	=	=	SYM
ejpam-4513	310	15	∑	∑	PUNCT
ejpam-4513	310	16	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	310	17	]	]	X
ejpam-4513	310	18	2	2	NUM
ejpam-4513	310	19	du	du	X
ejpam-4513	310	20	+	+	CCONJ
ejpam-4513	310	21	dv	dv	PROPN
ejpam-4513	310	22	=	=	PROPN
ejpam-4513	310	23	e1	e1	PROPN
ejpam-4513	310	24	[	[	PUNCT
ejpam-4513	310	25	2	2	NUM
ejpam-4513	310	26	dg(2	dg(2	NOUN
ejpam-4513	310	27	+	+	PUNCT
ejpam-4513	310	28	v2	v2	NOUN
ejpam-4513	310	29	)	)	PUNCT
ejpam-4513	311	1	+	+	CCONJ
ejpam-4513	311	2	dg(2	dg(2	PROPN
ejpam-4513	311	3	+	+	SYM
ejpam-4513	311	4	v2	v2	PROPN
ejpam-4513	311	5	)	)	PUNCT
ejpam-4513	311	6	]	]	PUNCT
ejpam-4513	312	1	+	+	CCONJ
ejpam-4513	312	2	2e1	2e1	NUM
ejpam-4513	312	3	[	[	PUNCT
ejpam-4513	312	4	2	2	NUM
ejpam-4513	312	5	2	2	NUM
ejpam-4513	312	6	+	+	SYM
ejpam-4513	312	7	dg(2	dg(2	NOUN
ejpam-4513	312	8	+	+	SYM
ejpam-4513	312	9	v2	v2	PROPN
ejpam-4513	312	10	)	)	PUNCT
ejpam-4513	312	11	]	]	PUNCT
ejpam-4513	313	1	+	+	CCONJ
ejpam-4513	313	2	e1e2	e1e2	X
ejpam-4513	313	3	[	[	PUNCT
ejpam-4513	313	4	2	2	NUM
ejpam-4513	313	5	(	(	PUNCT
ejpam-4513	313	6	dh	dh	NOUN
ejpam-4513	313	7	+	+	NOUN
ejpam-4513	313	8	2	2	NUM
ejpam-4513	313	9	)	)	PUNCT
ejpam-4513	313	10	+	+	CCONJ
ejpam-4513	313	11	(	(	PUNCT
ejpam-4513	313	12	dh	dh	NOUN
ejpam-4513	313	13	+	+	NOUN
ejpam-4513	313	14	2	2	NUM
ejpam-4513	313	15	)	)	PUNCT
ejpam-4513	313	16	]	]	PUNCT
ejpam-4513	314	1	+	+	CCONJ
ejpam-4513	314	2	2e1v2	2e1v2	NUM
ejpam-4513	314	3	[	[	PUNCT
ejpam-4513	314	4	2	2	NUM
ejpam-4513	314	5	dh	dh	NOUN
ejpam-4513	314	6	+	+	CCONJ
ejpam-4513	314	7	2	2	NUM
ejpam-4513	314	8	+	+	SYM
ejpam-4513	314	9	dg(2	dg(2	NOUN
ejpam-4513	314	10	+	+	SYM
ejpam-4513	314	11	v2	v2	PROPN
ejpam-4513	314	12	)	)	PUNCT
ejpam-4513	314	13	]	]	PUNCT
ejpam-4513	315	1	h[ψ	h[ψ	X
ejpam-4513	315	2	]	]	X
ejpam-4513	315	3	≥	≥	PROPN
ejpam-4513	315	4	e1	e1	PROPN
ejpam-4513	315	5	[	[	PUNCT
ejpam-4513	315	6	e1	e1	PROPN
ejpam-4513	315	7	∆g(2	∆g(2	PROPN
ejpam-4513	315	8	+	+	CCONJ
ejpam-4513	315	9	v2	v2	PROPN
ejpam-4513	315	10	)	)	PUNCT
ejpam-4513	315	11	]	]	PUNCT
ejpam-4513	316	1	+	+	CCONJ
ejpam-4513	316	2	[	[	PUNCT
ejpam-4513	316	3	4e1	4e1	NUM
ejpam-4513	316	4	2	2	NUM
ejpam-4513	316	5	+	+	CCONJ
ejpam-4513	316	6	∆g(2	∆g(2	PROPN
ejpam-4513	316	7	+	+	NUM
ejpam-4513	316	8	v2	v2	NOUN
ejpam-4513	316	9	)	)	PUNCT
ejpam-4513	316	10	]	]	PUNCT
ejpam-4513	317	1	+	+	CCONJ
ejpam-4513	317	2	[	[	PUNCT
ejpam-4513	317	3	e1e2	e1e2	X
ejpam-4513	317	4	(	(	PUNCT
ejpam-4513	317	5	∆h	∆h	PROPN
ejpam-4513	317	6	+	+	CCONJ
ejpam-4513	317	7	2	2	NUM
ejpam-4513	317	8	)	)	PUNCT
ejpam-4513	317	9	]	]	PUNCT
ejpam-4513	318	1	+	+	CCONJ
ejpam-4513	318	2	[	[	PUNCT
ejpam-4513	318	3	4v2e1	4v2e1	ADJ
ejpam-4513	318	4	∆h	∆h	PROPN
ejpam-4513	318	5	+	+	CCONJ
ejpam-4513	318	6	2	2	NUM
ejpam-4513	318	7	+	+	ADJ
ejpam-4513	318	8	∆g(2	∆g(2	X
ejpam-4513	318	9	+	+	NUM
ejpam-4513	318	10	v2	v2	NOUN
ejpam-4513	318	11	)	)	PUNCT
ejpam-4513	318	12	]	]	PUNCT
ejpam-4513	318	13	similarly	similarly	ADV
ejpam-4513	318	14	,	,	PUNCT
ejpam-4513	318	15	h[ψ	h[ψ	ADV
ejpam-4513	318	16	]	]	PUNCT
ejpam-4513	318	17	≤	≤	NUM
ejpam-4513	318	18	e1	e1	PROPN
ejpam-4513	318	19	[	[	PUNCT
ejpam-4513	318	20	e1	e1	NOUN
ejpam-4513	318	21	δg(2	δg(2	X
ejpam-4513	318	22	+	+	CCONJ
ejpam-4513	318	23	v2	v2	PROPN
ejpam-4513	318	24	)	)	PUNCT
ejpam-4513	318	25	]	]	PUNCT
ejpam-4513	319	1	+	+	CCONJ
ejpam-4513	319	2	[	[	PUNCT
ejpam-4513	319	3	4e1	4e1	NUM
ejpam-4513	319	4	2	2	NUM
ejpam-4513	319	5	+	+	X
ejpam-4513	319	6	δg(2	δg(2	PROPN
ejpam-4513	319	7	+	+	X
ejpam-4513	319	8	v2	v2	NOUN
ejpam-4513	319	9	)	)	PUNCT
ejpam-4513	319	10	]	]	PUNCT
ejpam-4513	320	1	+	+	CCONJ
ejpam-4513	320	2	[	[	PUNCT
ejpam-4513	320	3	e1e2	e1e2	NOUN
ejpam-4513	320	4	(	(	PUNCT
ejpam-4513	320	5	δh	δh	ADP
ejpam-4513	320	6	+	+	ADP
ejpam-4513	320	7	2	2	NUM
ejpam-4513	320	8	)	)	PUNCT
ejpam-4513	320	9	]	]	PUNCT
ejpam-4513	321	1	+	+	CCONJ
ejpam-4513	321	2	[	[	PUNCT
ejpam-4513	321	3	4v2e1	4v2e1	X
ejpam-4513	321	4	δh	δh	ADP
ejpam-4513	321	5	+	+	CCONJ
ejpam-4513	321	6	2	2	NUM
ejpam-4513	321	7	+	+	CCONJ
ejpam-4513	321	8	δg(2	δg(2	PROPN
ejpam-4513	321	9	+	+	X
ejpam-4513	321	10	v2	v2	NOUN
ejpam-4513	321	11	)	)	PUNCT
ejpam-4513	321	12	]	]	PUNCT
ejpam-4513	321	13	.	.	PUNCT
ejpam-4513	322	1	theorem	theorem	ADJ
ejpam-4513	322	2	15	15	NUM
ejpam-4513	322	3	.	.	PUNCT
ejpam-4513	323	1	let	let	VERB
ejpam-4513	323	2	g	g	NOUN
ejpam-4513	323	3	and	and	CCONJ
ejpam-4513	323	4	h	h	NOUN
ejpam-4513	323	5	be	be	VERB
ejpam-4513	323	6	two	two	NUM
ejpam-4513	323	7	simple	simple	ADJ
ejpam-4513	323	8	connected	connected	ADJ
ejpam-4513	323	9	graphs	graph	NOUN
ejpam-4513	323	10	,	,	PUNCT
ejpam-4513	323	11	then	then	ADV
ejpam-4513	323	12	sc[ψ	sc[ψ	PROPN
ejpam-4513	323	13	]	]	X
ejpam-4513	323	14	≥	≥	X
ejpam-4513	323	15	[	[	PUNCT
ejpam-4513	323	16	2e1√	2e1√	NUM
ejpam-4513	323	17	2∆g(2	2∆g(2	NUM
ejpam-4513	323	18	+	+	CCONJ
ejpam-4513	323	19	v2	v2	NOUN
ejpam-4513	323	20	)	)	PUNCT
ejpam-4513	323	21	]	]	PUNCT
ejpam-4513	324	1	+	+	CCONJ
ejpam-4513	324	2	[	[	PUNCT
ejpam-4513	324	3	4e1√	4e1√	NUM
ejpam-4513	324	4	2	2	NUM
ejpam-4513	324	5	+	+	SYM
ejpam-4513	324	6	∆g(2	∆g(2	PROPN
ejpam-4513	324	7	+	+	NUM
ejpam-4513	324	8	v2	v2	NOUN
ejpam-4513	324	9	)	)	PUNCT
ejpam-4513	324	10	]	]	PUNCT
ejpam-4513	325	1	+	+	CCONJ
ejpam-4513	325	2	[	[	PUNCT
ejpam-4513	325	3	2e1e2√	2e1e2√	NUM
ejpam-4513	325	4	2(∆h	2(∆h	NUM
ejpam-4513	325	5	+	+	NOUN
ejpam-4513	325	6	2	2	NUM
ejpam-4513	325	7	)	)	PUNCT
ejpam-4513	325	8	]	]	PUNCT
ejpam-4513	326	1	+	+	CCONJ
ejpam-4513	326	2	[	[	PUNCT
ejpam-4513	326	3	4v2e1√	4v2e1√	NUM
ejpam-4513	326	4	(	(	PUNCT
ejpam-4513	326	5	∆h	∆h	PROPN
ejpam-4513	326	6	+	+	CCONJ
ejpam-4513	326	7	2	2	NUM
ejpam-4513	326	8	)	)	PUNCT
ejpam-4513	326	9	+	+	NUM
ejpam-4513	326	10	∆g(2	∆g(2	PROPN
ejpam-4513	326	11	+	+	NUM
ejpam-4513	326	12	v2	v2	NOUN
ejpam-4513	326	13	)	)	PUNCT
ejpam-4513	326	14	]	]	PUNCT
ejpam-4513	326	15	and	and	CCONJ
ejpam-4513	326	16	sc[ψ	sc[ψ	PROPN
ejpam-4513	326	17	]	]	X
ejpam-4513	326	18	≤	≤	X
ejpam-4513	326	19	[	[	PUNCT
ejpam-4513	326	20	2e1√	2e1√	NUM
ejpam-4513	326	21	2δg(2	2δg(2	NUM
ejpam-4513	326	22	+	+	SYM
ejpam-4513	326	23	v2	v2	NOUN
ejpam-4513	326	24	)	)	PUNCT
ejpam-4513	326	25	]	]	PUNCT
ejpam-4513	327	1	+	+	CCONJ
ejpam-4513	327	2	[	[	PUNCT
ejpam-4513	327	3	4e1√	4e1√	NUM
ejpam-4513	327	4	2	2	NUM
ejpam-4513	327	5	+	+	CCONJ
ejpam-4513	327	6	δg(2	δg(2	PROPN
ejpam-4513	327	7	+	+	X
ejpam-4513	327	8	v2	v2	NOUN
ejpam-4513	327	9	)	)	PUNCT
ejpam-4513	327	10	]	]	PUNCT
ejpam-4513	328	1	+	+	CCONJ
ejpam-4513	328	2	[	[	PUNCT
ejpam-4513	328	3	2e1e2√	2e1e2√	NUM
ejpam-4513	328	4	2(δh	2(δh	NUM
ejpam-4513	328	5	+	+	CCONJ
ejpam-4513	328	6	2	2	NUM
ejpam-4513	328	7	)	)	PUNCT
ejpam-4513	328	8	]	]	PUNCT
ejpam-4513	329	1	+	+	CCONJ
ejpam-4513	329	2	[	[	PUNCT
ejpam-4513	329	3	4v2e1√	4v2e1√	NUM
ejpam-4513	329	4	(	(	PUNCT
ejpam-4513	329	5	δh	δh	ADP
ejpam-4513	329	6	+	+	ADP
ejpam-4513	329	7	2	2	NUM
ejpam-4513	329	8	)	)	PUNCT
ejpam-4513	329	9	+	+	CCONJ
ejpam-4513	329	10	δg(2	δg(2	PROPN
ejpam-4513	329	11	+	+	CCONJ
ejpam-4513	329	12	v2	v2	NOUN
ejpam-4513	329	13	)	)	PUNCT
ejpam-4513	329	14	]	]	PUNCT
ejpam-4513	329	15	.	.	PUNCT
ejpam-4513	330	1	proof	proof	NOUN
ejpam-4513	330	2	.	.	PUNCT
ejpam-4513	331	1	using	use	VERB
ejpam-4513	331	2	table	table	NOUN
ejpam-4513	331	3	1	1	NUM
ejpam-4513	331	4	and	and	CCONJ
ejpam-4513	331	5	the	the	DET
ejpam-4513	331	6	definition	definition	NOUN
ejpam-4513	331	7	of	of	ADP
ejpam-4513	331	8	sum	sum	NOUN
ejpam-4513	331	9	-	-	PUNCT
ejpam-4513	331	10	connectivity	connectivity	NOUN
ejpam-4513	331	11	index	index	NOUN
ejpam-4513	331	12	,	,	PUNCT
ejpam-4513	331	13	we	we	PRON
ejpam-4513	331	14	have	have	AUX
ejpam-4513	331	15	sc[ψ	sc[ψ	VERB
ejpam-4513	331	16	]	]	PUNCT
ejpam-4513	332	1	=	=	PUNCT
ejpam-4513	332	2	∑	∑	PUNCT
ejpam-4513	332	3	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	332	4	]	]	X
ejpam-4513	332	5	2√	2√	NUM
ejpam-4513	332	6	du	du	X
ejpam-4513	332	7	+	+	CCONJ
ejpam-4513	332	8	dv	dv	PROPN
ejpam-4513	332	9	=	=	PROPN
ejpam-4513	332	10	e1	e1	PROPN
ejpam-4513	332	11	[	[	PUNCT
ejpam-4513	332	12	2√	2√	PROPN
ejpam-4513	332	13	dg(2	dg(2	PROPN
ejpam-4513	332	14	+	+	SYM
ejpam-4513	332	15	v2	v2	NOUN
ejpam-4513	332	16	)	)	PUNCT
ejpam-4513	332	17	+	+	CCONJ
ejpam-4513	332	18	dg(2	dg(2	PROPN
ejpam-4513	332	19	+	+	SYM
ejpam-4513	332	20	v2	v2	PROPN
ejpam-4513	332	21	)	)	PUNCT
ejpam-4513	332	22	]	]	PUNCT
ejpam-4513	333	1	+	+	CCONJ
ejpam-4513	333	2	2e1	2e1	NUM
ejpam-4513	333	3	[	[	PUNCT
ejpam-4513	333	4	2√	2√	NUM
ejpam-4513	333	5	2	2	NUM
ejpam-4513	333	6	+	+	SYM
ejpam-4513	333	7	dg(2	dg(2	NOUN
ejpam-4513	333	8	+	+	SYM
ejpam-4513	333	9	v2	v2	PROPN
ejpam-4513	333	10	)	)	PUNCT
ejpam-4513	333	11	]	]	PUNCT
ejpam-4513	334	1	dafik	dafik	VERB
ejpam-4513	334	2	et	et	PROPN
ejpam-4513	334	3	al	al	PROPN
ejpam-4513	334	4	.	.	PUNCT
ejpam-4513	334	5	/	/	SYM
ejpam-4513	334	6	eur	eur	PROPN
ejpam-4513	334	7	.	.	PUNCT
ejpam-4513	335	1	j.	j.	PROPN
ejpam-4513	335	2	pure	pure	PROPN
ejpam-4513	335	3	appl	appl	PROPN
ejpam-4513	335	4	.	.	PROPN
ejpam-4513	335	5	math	math	PROPN
ejpam-4513	335	6	,	,	PUNCT
ejpam-4513	335	7	16	16	NUM
ejpam-4513	335	8	(	(	PUNCT
ejpam-4513	335	9	2	2	NUM
ejpam-4513	335	10	)	)	PUNCT
ejpam-4513	335	11	(	(	PUNCT
ejpam-4513	335	12	2023	2023	NUM
ejpam-4513	335	13	)	)	PUNCT
ejpam-4513	335	14	,	,	PUNCT
ejpam-4513	335	15	1094	1094	NUM
ejpam-4513	335	16	-	-	SYM
ejpam-4513	335	17	1109	1109	NUM
ejpam-4513	335	18	1106	1106	NUM
ejpam-4513	335	19	+	+	SYM
ejpam-4513	335	20	e1e2	e1e2	NOUN
ejpam-4513	335	21	[	[	PUNCT
ejpam-4513	335	22	2√	2√	PROPN
ejpam-4513	335	23	(	(	PUNCT
ejpam-4513	335	24	dh	dh	NOUN
ejpam-4513	335	25	+	+	NOUN
ejpam-4513	335	26	2	2	NUM
ejpam-4513	335	27	)	)	PUNCT
ejpam-4513	335	28	+	+	CCONJ
ejpam-4513	335	29	(	(	PUNCT
ejpam-4513	335	30	dh	dh	NOUN
ejpam-4513	335	31	+	+	NOUN
ejpam-4513	335	32	2	2	NUM
ejpam-4513	335	33	)	)	PUNCT
ejpam-4513	335	34	]	]	PUNCT
ejpam-4513	336	1	+	+	CCONJ
ejpam-4513	336	2	2e1v2	2e1v2	NUM
ejpam-4513	336	3	[	[	PUNCT
ejpam-4513	336	4	2√	2√	NUM
ejpam-4513	336	5	dh	dh	NOUN
ejpam-4513	336	6	+	+	CCONJ
ejpam-4513	336	7	2	2	NUM
ejpam-4513	336	8	+	+	SYM
ejpam-4513	336	9	dg(2	dg(2	NOUN
ejpam-4513	336	10	+	+	SYM
ejpam-4513	336	11	v2	v2	PROPN
ejpam-4513	336	12	)	)	PUNCT
ejpam-4513	336	13	]	]	PUNCT
ejpam-4513	337	1	sc[ψ	sc[ψ	PROPN
ejpam-4513	337	2	]	]	X
ejpam-4513	337	3	≥	≥	X
ejpam-4513	337	4	[	[	PUNCT
ejpam-4513	337	5	2e1√	2e1√	NUM
ejpam-4513	337	6	2∆g(2	2∆g(2	NUM
ejpam-4513	337	7	+	+	CCONJ
ejpam-4513	337	8	v2	v2	NOUN
ejpam-4513	337	9	)	)	PUNCT
ejpam-4513	337	10	]	]	PUNCT
ejpam-4513	338	1	+	+	CCONJ
ejpam-4513	338	2	[	[	PUNCT
ejpam-4513	338	3	4e1√	4e1√	NUM
ejpam-4513	338	4	2	2	NUM
ejpam-4513	338	5	+	+	SYM
ejpam-4513	338	6	∆g(2	∆g(2	PROPN
ejpam-4513	338	7	+	+	NUM
ejpam-4513	338	8	v2	v2	NOUN
ejpam-4513	338	9	)	)	PUNCT
ejpam-4513	338	10	]	]	PUNCT
ejpam-4513	339	1	+	+	CCONJ
ejpam-4513	339	2	[	[	PUNCT
ejpam-4513	339	3	2e1e2√	2e1e2√	NUM
ejpam-4513	339	4	2(∆h	2(∆h	NUM
ejpam-4513	339	5	+	+	NOUN
ejpam-4513	339	6	2	2	NUM
ejpam-4513	339	7	)	)	PUNCT
ejpam-4513	339	8	]	]	PUNCT
ejpam-4513	340	1	+	+	CCONJ
ejpam-4513	340	2	[	[	PUNCT
ejpam-4513	340	3	4v2e1√	4v2e1√	NUM
ejpam-4513	340	4	(	(	PUNCT
ejpam-4513	340	5	∆h	∆h	PROPN
ejpam-4513	340	6	+	+	CCONJ
ejpam-4513	340	7	2	2	NUM
ejpam-4513	340	8	)	)	PUNCT
ejpam-4513	340	9	+	+	NUM
ejpam-4513	340	10	∆g(2	∆g(2	PROPN
ejpam-4513	340	11	+	+	NUM
ejpam-4513	340	12	v2	v2	NOUN
ejpam-4513	340	13	)	)	PUNCT
ejpam-4513	340	14	]	]	PUNCT
ejpam-4513	340	15	similarly	similarly	ADV
ejpam-4513	340	16	,	,	PUNCT
ejpam-4513	340	17	sc[ψ	sc[ψ	PROPN
ejpam-4513	340	18	]	]	X
ejpam-4513	340	19	≤	≤	X
ejpam-4513	340	20	[	[	PUNCT
ejpam-4513	340	21	2e1√	2e1√	NUM
ejpam-4513	340	22	2δg(2	2δg(2	NUM
ejpam-4513	340	23	+	+	SYM
ejpam-4513	340	24	v2	v2	NOUN
ejpam-4513	340	25	)	)	PUNCT
ejpam-4513	340	26	]	]	PUNCT
ejpam-4513	341	1	+	+	CCONJ
ejpam-4513	341	2	[	[	PUNCT
ejpam-4513	341	3	4e1√	4e1√	NUM
ejpam-4513	341	4	2	2	NUM
ejpam-4513	341	5	+	+	CCONJ
ejpam-4513	341	6	δg(2	δg(2	PROPN
ejpam-4513	341	7	+	+	X
ejpam-4513	341	8	v2	v2	NOUN
ejpam-4513	341	9	)	)	PUNCT
ejpam-4513	341	10	]	]	PUNCT
ejpam-4513	342	1	+	+	CCONJ
ejpam-4513	342	2	[	[	PUNCT
ejpam-4513	342	3	2e1e2√	2e1e2√	NUM
ejpam-4513	342	4	2(δh	2(δh	NUM
ejpam-4513	342	5	+	+	CCONJ
ejpam-4513	342	6	2	2	NUM
ejpam-4513	342	7	)	)	PUNCT
ejpam-4513	342	8	]	]	PUNCT
ejpam-4513	343	1	+	+	CCONJ
ejpam-4513	343	2	[	[	PUNCT
ejpam-4513	343	3	4v2e1√	4v2e1√	NUM
ejpam-4513	343	4	(	(	PUNCT
ejpam-4513	343	5	δh	δh	ADP
ejpam-4513	343	6	+	+	ADP
ejpam-4513	343	7	2	2	NUM
ejpam-4513	343	8	)	)	PUNCT
ejpam-4513	343	9	+	+	CCONJ
ejpam-4513	343	10	δg(2	δg(2	PROPN
ejpam-4513	343	11	+	+	CCONJ
ejpam-4513	343	12	v2	v2	NOUN
ejpam-4513	343	13	)	)	PUNCT
ejpam-4513	343	14	]	]	PUNCT
ejpam-4513	343	15	.	.	PUNCT
ejpam-4513	344	1	theorem	theorem	VERB
ejpam-4513	344	2	16	16	NUM
ejpam-4513	344	3	.	.	PUNCT
ejpam-4513	345	1	let	let	VERB
ejpam-4513	345	2	g	g	NOUN
ejpam-4513	345	3	and	and	CCONJ
ejpam-4513	345	4	h	h	NOUN
ejpam-4513	345	5	be	be	VERB
ejpam-4513	345	6	two	two	NUM
ejpam-4513	345	7	simple	simple	ADJ
ejpam-4513	345	8	connected	connected	ADJ
ejpam-4513	345	9	graphs	graph	NOUN
ejpam-4513	345	10	,	,	PUNCT
ejpam-4513	345	11	then	then	ADV
ejpam-4513	345	12	rezg1[ψ	rezg1[ψ	PROPN
ejpam-4513	345	13	]	]	PUNCT
ejpam-4513	345	14	≥	≥	PROPN
ejpam-4513	345	15	e1	e1	PROPN
ejpam-4513	345	16	[	[	PUNCT
ejpam-4513	345	17	2e1	2e1	NUM
ejpam-4513	345	18	∆g(2	∆g(2	X
ejpam-4513	345	19	+	+	NUM
ejpam-4513	345	20	v2	v2	PROPN
ejpam-4513	345	21	)	)	PUNCT
ejpam-4513	345	22	]	]	PUNCT
ejpam-4513	346	1	+	+	CCONJ
ejpam-4513	346	2	e1	e1	NOUN
ejpam-4513	346	3	[	[	PUNCT
ejpam-4513	346	4	2	2	NUM
ejpam-4513	346	5	+	+	SYM
ejpam-4513	346	6	∆g(2	∆g(2	PRON
ejpam-4513	346	7	+	+	NUM
ejpam-4513	346	8	v2	v2	PROPN
ejpam-4513	346	9	)	)	PUNCT
ejpam-4513	346	10	∆g(2	∆g(2	PROPN
ejpam-4513	346	11	+	+	NUM
ejpam-4513	346	12	v2	v2	PROPN
ejpam-4513	346	13	)	)	PUNCT
ejpam-4513	346	14	]	]	PUNCT
ejpam-4513	347	1	+	+	CCONJ
ejpam-4513	347	2	[	[	PUNCT
ejpam-4513	347	3	2e1e2	2e1e2	NUM
ejpam-4513	347	4	(	(	PUNCT
ejpam-4513	347	5	∆h	∆h	PROPN
ejpam-4513	347	6	+	+	CCONJ
ejpam-4513	347	7	2	2	NUM
ejpam-4513	347	8	)	)	PUNCT
ejpam-4513	347	9	]	]	PUNCT
ejpam-4513	348	1	+	+	CCONJ
ejpam-4513	348	2	2v2e1	2v2e1	NUM
ejpam-4513	348	3	[	[	PUNCT
ejpam-4513	348	4	(	(	PUNCT
ejpam-4513	348	5	∆h	∆h	PROPN
ejpam-4513	348	6	+	+	NUM
ejpam-4513	348	7	2)∆g(2	2)∆g(2	NUM
ejpam-4513	348	8	+	+	CCONJ
ejpam-4513	348	9	v2	v2	NOUN
ejpam-4513	348	10	)	)	PUNCT
ejpam-4513	348	11	(	(	PUNCT
ejpam-4513	348	12	∆h	∆h	PROPN
ejpam-4513	348	13	+	+	NUM
ejpam-4513	348	14	2)∆g(2	2)∆g(2	NUM
ejpam-4513	348	15	+	+	CCONJ
ejpam-4513	348	16	v2	v2	NOUN
ejpam-4513	348	17	)	)	PUNCT
ejpam-4513	348	18	]	]	PUNCT
ejpam-4513	348	19	.	.	PUNCT
ejpam-4513	349	1	and	and	CCONJ
ejpam-4513	349	2	rezg1[ψ	rezg1[ψ	PROPN
ejpam-4513	349	3	]	]	PUNCT
ejpam-4513	349	4	≤	≤	NUM
ejpam-4513	349	5	e1	e1	PROPN
ejpam-4513	349	6	[	[	PUNCT
ejpam-4513	349	7	2e1	2e1	NUM
ejpam-4513	349	8	δg(2	δg(2	X
ejpam-4513	349	9	+	+	CCONJ
ejpam-4513	349	10	v2	v2	PROPN
ejpam-4513	349	11	)	)	PUNCT
ejpam-4513	349	12	]	]	PUNCT
ejpam-4513	350	1	+	+	CCONJ
ejpam-4513	350	2	e1	e1	NOUN
ejpam-4513	350	3	[	[	PUNCT
ejpam-4513	350	4	2	2	NUM
ejpam-4513	350	5	+	+	PROPN
ejpam-4513	350	6	δg(2	δg(2	PROPN
ejpam-4513	350	7	+	+	CCONJ
ejpam-4513	350	8	v2	v2	NOUN
ejpam-4513	350	9	)	)	PUNCT
ejpam-4513	350	10	δg(2	δg(2	PROPN
ejpam-4513	350	11	+	+	CCONJ
ejpam-4513	350	12	v2	v2	NOUN
ejpam-4513	350	13	)	)	PUNCT
ejpam-4513	350	14	]	]	PUNCT
ejpam-4513	351	1	+	+	CCONJ
ejpam-4513	351	2	[	[	PUNCT
ejpam-4513	351	3	2e1e2	2e1e2	NUM
ejpam-4513	351	4	(	(	PUNCT
ejpam-4513	351	5	δh	δh	ADP
ejpam-4513	351	6	+	+	ADP
ejpam-4513	351	7	2	2	NUM
ejpam-4513	351	8	)	)	PUNCT
ejpam-4513	351	9	]	]	PUNCT
ejpam-4513	352	1	+	+	CCONJ
ejpam-4513	352	2	2v2e1	2v2e1	NUM
ejpam-4513	352	3	[	[	PUNCT
ejpam-4513	352	4	(	(	PUNCT
ejpam-4513	352	5	δh	δh	ADP
ejpam-4513	352	6	+	+	CCONJ
ejpam-4513	352	7	2)δg(2	2)δg(2	NUM
ejpam-4513	352	8	+	+	SYM
ejpam-4513	352	9	v2	v2	NOUN
ejpam-4513	352	10	)	)	PUNCT
ejpam-4513	352	11	(	(	PUNCT
ejpam-4513	352	12	δh	δh	ADP
ejpam-4513	352	13	+	+	CCONJ
ejpam-4513	352	14	2)δg(2	2)δg(2	NUM
ejpam-4513	352	15	+	+	SYM
ejpam-4513	352	16	v2	v2	NOUN
ejpam-4513	352	17	)	)	PUNCT
ejpam-4513	352	18	]	]	PUNCT
ejpam-4513	352	19	.	.	PUNCT
ejpam-4513	353	1	proof	proof	NOUN
ejpam-4513	353	2	.	.	PUNCT
ejpam-4513	354	1	using	use	VERB
ejpam-4513	354	2	table	table	NOUN
ejpam-4513	354	3	1	1	NUM
ejpam-4513	354	4	and	and	CCONJ
ejpam-4513	354	5	the	the	DET
ejpam-4513	354	6	definition	definition	NOUN
ejpam-4513	354	7	of	of	ADP
ejpam-4513	354	8	redefined	redefine	VERB
ejpam-4513	354	9	first	first	PROPN
ejpam-4513	354	10	zagreb	zagreb	PROPN
ejpam-4513	354	11	index	index	PROPN
ejpam-4513	354	12	,	,	PUNCT
ejpam-4513	354	13	we	we	PRON
ejpam-4513	354	14	have	have	AUX
ejpam-4513	354	15	rezg1[ψ	rezg1[ψ	NOUN
ejpam-4513	354	16	]	]	X
ejpam-4513	354	17	=	=	PUNCT
ejpam-4513	354	18	∑	∑	PUNCT
ejpam-4513	354	19	uv∈e[g	uv∈e[g	ADJ
ejpam-4513	354	20	]	]	X
ejpam-4513	354	21	[	[	PUNCT
ejpam-4513	354	22	du	du	X
ejpam-4513	354	23	+	+	CCONJ
ejpam-4513	354	24	dv	dv	PROPN
ejpam-4513	354	25	du.dv	du.dv	PROPN
ejpam-4513	354	26	]	]	PUNCT
ejpam-4513	355	1	=	=	SYM
ejpam-4513	355	2	e1	e1	PROPN
ejpam-4513	355	3	[	[	PUNCT
ejpam-4513	355	4	2dg(2	2dg(2	NUM
ejpam-4513	355	5	+	+	SYM
ejpam-4513	355	6	v2	v2	PROPN
ejpam-4513	355	7	)	)	PUNCT
ejpam-4513	355	8	d2g(2	d2g(2	PROPN
ejpam-4513	356	1	+	+	CCONJ
ejpam-4513	357	1	v2)2	v2)2	NUM
ejpam-4513	357	2	]	]	PUNCT
ejpam-4513	358	1	+	+	CCONJ
ejpam-4513	358	2	2e1	2e1	NUM
ejpam-4513	358	3	[	[	PUNCT
ejpam-4513	358	4	2	2	NUM
ejpam-4513	358	5	+	+	NUM
ejpam-4513	358	6	dg(2	dg(2	NOUN
ejpam-4513	358	7	+	+	CCONJ
ejpam-4513	358	8	v2	v2	PROPN
ejpam-4513	358	9	)	)	PUNCT
ejpam-4513	358	10	2dg(2	2dg(2	PROPN
ejpam-4513	358	11	+	+	SYM
ejpam-4513	358	12	v2	v2	PROPN
ejpam-4513	358	13	)	)	PUNCT
ejpam-4513	358	14	]	]	PUNCT
ejpam-4513	359	1	+	+	CCONJ
ejpam-4513	359	2	e1e2	e1e2	X
ejpam-4513	359	3	[	[	PUNCT
ejpam-4513	359	4	2(dh	2(dh	NOUN
ejpam-4513	359	5	+	+	CCONJ
ejpam-4513	359	6	2	2	NUM
ejpam-4513	359	7	)	)	PUNCT
ejpam-4513	359	8	(	(	PUNCT
ejpam-4513	359	9	dh	dh	NOUN
ejpam-4513	360	1	+	+	CCONJ
ejpam-4513	360	2	2)2	2)2	NUM
ejpam-4513	360	3	]	]	PUNCT
ejpam-4513	361	1	+	+	NUM
ejpam-4513	361	2	2v2e1	2v2e1	NUM
ejpam-4513	361	3	[	[	PUNCT
ejpam-4513	361	4	(	(	PUNCT
ejpam-4513	361	5	dh	dh	NOUN
ejpam-4513	361	6	+	+	NOUN
ejpam-4513	361	7	2	2	NUM
ejpam-4513	361	8	)	)	PUNCT
ejpam-4513	361	9	+	+	NUM
ejpam-4513	361	10	dg(2	dg(2	PROPN
ejpam-4513	361	11	+	+	SYM
ejpam-4513	361	12	v2	v2	NOUN
ejpam-4513	361	13	)	)	PUNCT
ejpam-4513	361	14	(	(	PUNCT
ejpam-4513	361	15	dh	dh	NOUN
ejpam-4513	361	16	+	+	CCONJ
ejpam-4513	361	17	2)dg(2	2)dg(2	NUM
ejpam-4513	361	18	+	+	CCONJ
ejpam-4513	361	19	v2	v2	NOUN
ejpam-4513	361	20	)	)	PUNCT
ejpam-4513	361	21	]	]	PUNCT
ejpam-4513	362	1	rezg1[ψ	rezg1[ψ	PROPN
ejpam-4513	362	2	]	]	PUNCT
ejpam-4513	362	3	≥	≥	NOUN
ejpam-4513	362	4	e1	e1	PROPN
ejpam-4513	362	5	[	[	PUNCT
ejpam-4513	362	6	2e1	2e1	NUM
ejpam-4513	362	7	∆g(2	∆g(2	X
ejpam-4513	362	8	+	+	NUM
ejpam-4513	362	9	v2	v2	PROPN
ejpam-4513	362	10	)	)	PUNCT
ejpam-4513	362	11	]	]	PUNCT
ejpam-4513	363	1	+	+	CCONJ
ejpam-4513	363	2	e1	e1	NOUN
ejpam-4513	363	3	[	[	PUNCT
ejpam-4513	363	4	2	2	NUM
ejpam-4513	363	5	+	+	SYM
ejpam-4513	363	6	∆g(2	∆g(2	PRON
ejpam-4513	363	7	+	+	NUM
ejpam-4513	363	8	v2	v2	PROPN
ejpam-4513	363	9	)	)	PUNCT
ejpam-4513	363	10	∆g(2	∆g(2	PROPN
ejpam-4513	363	11	+	+	NUM
ejpam-4513	363	12	v2	v2	PROPN
ejpam-4513	363	13	)	)	PUNCT
ejpam-4513	363	14	]	]	PUNCT
ejpam-4513	364	1	+	+	CCONJ
ejpam-4513	364	2	[	[	PUNCT
ejpam-4513	364	3	2e1e2	2e1e2	NUM
ejpam-4513	364	4	(	(	PUNCT
ejpam-4513	364	5	∆h	∆h	PROPN
ejpam-4513	364	6	+	+	CCONJ
ejpam-4513	364	7	2	2	NUM
ejpam-4513	364	8	)	)	PUNCT
ejpam-4513	364	9	]	]	PUNCT
ejpam-4513	365	1	+	+	CCONJ
ejpam-4513	365	2	2v2e1	2v2e1	NUM
ejpam-4513	365	3	[	[	PUNCT
ejpam-4513	365	4	(	(	PUNCT
ejpam-4513	365	5	∆h	∆h	PROPN
ejpam-4513	365	6	+	+	NUM
ejpam-4513	365	7	2)∆g(2	2)∆g(2	NUM
ejpam-4513	365	8	+	+	CCONJ
ejpam-4513	365	9	v2	v2	NOUN
ejpam-4513	365	10	)	)	PUNCT
ejpam-4513	365	11	(	(	PUNCT
ejpam-4513	365	12	∆h	∆h	PROPN
ejpam-4513	365	13	+	+	NUM
ejpam-4513	365	14	2)∆g(2	2)∆g(2	NUM
ejpam-4513	365	15	+	+	CCONJ
ejpam-4513	365	16	v2	v2	NOUN
ejpam-4513	365	17	)	)	PUNCT
ejpam-4513	365	18	]	]	PUNCT
ejpam-4513	365	19	.	.	PUNCT
ejpam-4513	366	1	similarly	similarly	ADV
ejpam-4513	366	2	,	,	PUNCT
ejpam-4513	366	3	rezg1[ψ	rezg1[ψ	PROPN
ejpam-4513	366	4	]	]	PUNCT
ejpam-4513	366	5	≤	≤	NUM
ejpam-4513	366	6	e1	e1	PROPN
ejpam-4513	366	7	[	[	PUNCT
ejpam-4513	366	8	2e1	2e1	NUM
ejpam-4513	366	9	δg(2	δg(2	X
ejpam-4513	366	10	+	+	CCONJ
ejpam-4513	366	11	v2	v2	PROPN
ejpam-4513	366	12	)	)	PUNCT
ejpam-4513	366	13	]	]	PUNCT
ejpam-4513	367	1	+	+	CCONJ
ejpam-4513	367	2	e1	e1	NOUN
ejpam-4513	367	3	[	[	PUNCT
ejpam-4513	367	4	2	2	NUM
ejpam-4513	367	5	+	+	PROPN
ejpam-4513	367	6	δg(2	δg(2	PROPN
ejpam-4513	367	7	+	+	CCONJ
ejpam-4513	367	8	v2	v2	NOUN
ejpam-4513	367	9	)	)	PUNCT
ejpam-4513	367	10	δg(2	δg(2	PROPN
ejpam-4513	367	11	+	+	CCONJ
ejpam-4513	367	12	v2	v2	NOUN
ejpam-4513	367	13	)	)	PUNCT
ejpam-4513	367	14	]	]	PUNCT
ejpam-4513	368	1	+	+	CCONJ
ejpam-4513	368	2	[	[	PUNCT
ejpam-4513	368	3	2e1e2	2e1e2	NUM
ejpam-4513	368	4	(	(	PUNCT
ejpam-4513	368	5	δh	δh	ADP
ejpam-4513	368	6	+	+	ADP
ejpam-4513	368	7	2	2	NUM
ejpam-4513	368	8	)	)	PUNCT
ejpam-4513	368	9	]	]	PUNCT
ejpam-4513	368	10	references	reference	NOUN
ejpam-4513	368	11	1107	1107	NUM
ejpam-4513	368	12	+	+	SYM
ejpam-4513	368	13	2v2e1	2v2e1	NUM
ejpam-4513	368	14	[	[	PUNCT
ejpam-4513	368	15	(	(	PUNCT
ejpam-4513	368	16	δh	δh	ADP
ejpam-4513	368	17	+	+	CCONJ
ejpam-4513	368	18	2)δg(2	2)δg(2	NUM
ejpam-4513	368	19	+	+	SYM
ejpam-4513	368	20	v2	v2	NOUN
ejpam-4513	368	21	)	)	PUNCT
ejpam-4513	368	22	(	(	PUNCT
ejpam-4513	368	23	δh	δh	ADP
ejpam-4513	368	24	+	+	CCONJ
ejpam-4513	368	25	2)δg(2	2)δg(2	NUM
ejpam-4513	368	26	+	+	SYM
ejpam-4513	368	27	v2	v2	NOUN
ejpam-4513	368	28	)	)	PUNCT
ejpam-4513	368	29	]	]	PUNCT
ejpam-4513	368	30	.	.	PUNCT
ejpam-4513	369	1	3	3	X
ejpam-4513	369	2	.	.	X
ejpam-4513	369	3	conclusion	conclusion	NOUN
ejpam-4513	369	4	in	in	ADP
ejpam-4513	369	5	this	this	DET
ejpam-4513	369	6	work	work	NOUN
ejpam-4513	369	7	,	,	PUNCT
ejpam-4513	369	8	we	we	PRON
ejpam-4513	369	9	have	have	AUX
ejpam-4513	369	10	considered	consider	VERB
ejpam-4513	369	11	ψ	ψ	PRON
ejpam-4513	369	12	graph	graph	NOUN
ejpam-4513	369	13	and	and	CCONJ
ejpam-4513	369	14	concentrated	concentrate	VERB
ejpam-4513	369	15	a	a	DET
ejpam-4513	369	16	few	few	ADJ
ejpam-4513	369	17	important	important	ADJ
ejpam-4513	369	18	topological	topological	ADJ
ejpam-4513	369	19	indices	index	NOUN
ejpam-4513	369	20	and	and	CCONJ
ejpam-4513	369	21	determine	determine	VERB
ejpam-4513	369	22	their	their	PRON
ejpam-4513	369	23	bounds	bound	NOUN
ejpam-4513	369	24	.	.	PUNCT
ejpam-4513	370	1	in	in	ADP
ejpam-4513	370	2	the	the	DET
ejpam-4513	370	3	same	same	ADJ
ejpam-4513	370	4	way	way	NOUN
ejpam-4513	370	5	,	,	PUNCT
ejpam-4513	370	6	we	we	PRON
ejpam-4513	370	7	can	can	AUX
ejpam-4513	370	8	examine	examine	VERB
ejpam-4513	370	9	the	the	DET
ejpam-4513	370	10	different	different	ADJ
ejpam-4513	370	11	classes	class	NOUN
ejpam-4513	370	12	of	of	ADP
ejpam-4513	370	13	topological	topological	ADJ
ejpam-4513	370	14	indices	index	NOUN
ejpam-4513	370	15	and	and	CCONJ
ejpam-4513	370	16	determine	determine	VERB
ejpam-4513	370	17	their	their	PRON
ejpam-4513	370	18	corresponding	correspond	VERB
ejpam-4513	370	19	bounds	bound	NOUN
ejpam-4513	370	20	for	for	ADP
ejpam-4513	370	21	ψ	ψ	NOUN
ejpam-4513	370	22	graph	graph	NOUN
ejpam-4513	370	23	.	.	PUNCT
ejpam-4513	371	1	acknowledgements	acknowledgement	NOUN
ejpam-4513	371	2	the	the	DET
ejpam-4513	371	3	author	author	NOUN
ejpam-4513	371	4	expresses	express	VERB
ejpam-4513	371	5	deepest	deep	ADJ
ejpam-4513	371	6	gratitude	gratitude	NOUN
ejpam-4513	371	7	to	to	ADP
ejpam-4513	371	8	the	the	DET
ejpam-4513	371	9	the	the	DET
ejpam-4513	371	10	department	department	NOUN
ejpam-4513	371	11	of	of	ADP
ejpam-4513	371	12	backward	backward	ADJ
ejpam-4513	371	13	classes	class	NOUN
ejpam-4513	371	14	welfare	welfare	NOUN
ejpam-4513	371	15	(	(	PUNCT
ejpam-4513	371	16	bcwd	bcwd	NOUN
ejpam-4513	371	17	)	)	PUNCT
ejpam-4513	371	18	karnataka	karnataka	PROPN
ejpam-4513	371	19	government	government	NOUN
ejpam-4513	371	20	,	,	PUNCT
ejpam-4513	371	21	and	and	CCONJ
ejpam-4513	371	22	the	the	DET
ejpam-4513	371	23	department	department	NOUN
ejpam-4513	371	24	of	of	ADP
ejpam-4513	371	25	mathematics	mathematic	NOUN
ejpam-4513	371	26	,	,	PUNCT
ejpam-4513	371	27	v.	v.	ADP
ejpam-4513	371	28	s.	s.	PROPN
ejpam-4513	371	29	k.	k.	PROPN
ejpam-4513	372	1	university	university	PROPN
ejpam-4513	372	2	,	,	PUNCT
ejpam-4513	372	3	ballari	ballari	NOUN
ejpam-4513	372	4	,	,	PUNCT
ejpam-4513	372	5	india	india	PROPN
ejpam-4513	372	6	,	,	PUNCT
ejpam-4513	372	7	as	as	ADV
ejpam-4513	372	8	well	well	ADV
ejpam-4513	372	9	as	as	ADP
ejpam-4513	372	10	pui	pui	PROPN
ejpam-4513	372	11	-	-	PUNCT
ejpam-4513	372	12	pt	pt	NOUN
ejpam-4513	372	13	combinatorics	combinatoric	NOUN
ejpam-4513	372	14	and	and	CCONJ
ejpam-4513	372	15	graph	graph	NOUN
ejpam-4513	372	16	,	,	PUNCT
ejpam-4513	372	17	cgant	cgant	ADJ
ejpam-4513	372	18	university	university	NOUN
ejpam-4513	372	19	of	of	ADP
ejpam-4513	372	20	jember	jember	PROPN
ejpam-4513	372	21	,	,	PUNCT
ejpam-4513	372	22	indonesia	indonesia	PROPN
ejpam-4513	372	23	,	,	PUNCT
ejpam-4513	372	24	from	from	ADP
ejpam-4513	372	25	the	the	DET
ejpam-4513	372	26	support	support	NOUN
ejpam-4513	372	27	on	on	ADP
ejpam-4513	372	28	finishing	finish	VERB
ejpam-4513	372	29	this	this	DET
ejpam-4513	372	30	paper	paper	NOUN
ejpam-4513	372	31	.	.	PUNCT
ejpam-4513	373	1	i	i	PRON
ejpam-4513	373	2	also	also	ADV
ejpam-4513	373	3	extend	extend	VERB
ejpam-4513	373	4	the	the	DET
ejpam-4513	373	5	acknowledgement	acknowledgement	NOUN
ejpam-4513	373	6	to	to	ADP
ejpam-4513	373	7	the	the	DET
ejpam-4513	373	8	anonymous	anonymous	ADJ
ejpam-4513	373	9	referee	referee	NOUN
ejpam-4513	373	10	for	for	ADP
ejpam-4513	373	11	their	their	PRON
ejpam-4513	373	12	valuable	valuable	ADJ
ejpam-4513	373	13	comments	comment	NOUN
ejpam-4513	373	14	and	and	CCONJ
ejpam-4513	373	15	fruitful	fruitful	ADJ
ejpam-4513	373	16	suggestions	suggestion	NOUN
ejpam-4513	373	17	which	which	PRON
ejpam-4513	373	18	enhanced	enhance	VERB
ejpam-4513	373	19	the	the	DET
ejpam-4513	373	20	readability	readability	NOUN
ejpam-4513	373	21	of	of	ADP
ejpam-4513	373	22	the	the	DET
ejpam-4513	373	23	paper	paper	NOUN
ejpam-4513	373	24	.	.	PUNCT
ejpam-4513	374	1	references	reference	NOUN
ejpam-4513	374	2	[	[	X
ejpam-4513	374	3	1	1	NUM
ejpam-4513	374	4	]	]	PUNCT
ejpam-4513	374	5	alameri	alameri	PROPN
ejpam-4513	374	6	a.	a.	PROPN
ejpam-4513	374	7	,	,	PUNCT
ejpam-4513	374	8	al	al	PROPN
ejpam-4513	374	9	-	-	PUNCT
ejpam-4513	374	10	naggar	naggar	PROPN
ejpam-4513	374	11	n.	n.	NOUN
ejpam-4513	374	12	,	,	PUNCT
ejpam-4513	374	13	m.	m.	PROPN
ejpam-4513	374	14	al	al	PROPN
ejpam-4513	374	15	-	-	PUNCT
ejpam-4513	374	16	rumaima	rumaima	PROPN
ejpam-4513	374	17	,	,	PUNCT
ejpam-4513	374	18	and	and	CCONJ
ejpam-4513	374	19	alsharafi	alsharafi	PROPN
ejpam-4513	374	20	m.	m.	PROPN
ejpam-4513	374	21	y	y	PROPN
ejpam-4513	374	22	-	-	PUNCT
ejpam-4513	374	23	index	index	NOUN
ejpam-4513	374	24	of	of	ADP
ejpam-4513	374	25	some	some	DET
ejpam-4513	374	26	graph	graph	NOUN
ejpam-4513	374	27	operations	operation	NOUN
ejpam-4513	374	28	.	.	PUNCT
ejpam-4513	375	1	international	international	ADJ
ejpam-4513	375	2	journal	journal	NOUN
ejpam-4513	375	3	of	of	ADP
ejpam-4513	375	4	applied	apply	VERB
ejpam-4513	375	5	engineering	engineering	NOUN
ejpam-4513	375	6	research	research	NOUN
ejpam-4513	375	7	,	,	PUNCT
ejpam-4513	375	8	15(2):179	15(2):179	NOUN
ejpam-4513	375	9	,	,	PUNCT
ejpam-4513	375	10	2020	2020	NUM
ejpam-4513	375	11	.	.	PUNCT
ejpam-4513	376	1	[	[	X
ejpam-4513	376	2	2	2	NUM
ejpam-4513	376	3	]	]	X
ejpam-4513	376	4	zhou	zhou	PROPN
ejpam-4513	376	5	bo	bo	PROPN
ejpam-4513	376	6	and	and	CCONJ
ejpam-4513	376	7	trinajstić	trinajstić	ADJ
ejpam-4513	376	8	nenad	nenad	PROPN
ejpam-4513	376	9	.	.	PUNCT
ejpam-4513	377	1	on	on	ADP
ejpam-4513	377	2	a	a	DET
ejpam-4513	377	3	novel	novel	ADJ
ejpam-4513	377	4	connectivity	connectivity	NOUN
ejpam-4513	377	5	index	index	NOUN
ejpam-4513	377	6	.	.	PUNCT
ejpam-4513	378	1	journal	journal	PROPN
ejpam-4513	378	2	of	of	ADP
ejpam-4513	378	3	mathematical	mathematical	ADJ
ejpam-4513	378	4	chemistry	chemistry	NOUN
ejpam-4513	378	5	,	,	PUNCT
ejpam-4513	378	6	46:1252–1270	46:1252–1270	NUM
ejpam-4513	378	7	,	,	PUNCT
ejpam-4513	378	8	2009	2009	NUM
ejpam-4513	378	9	.	.	PUNCT
ejpam-4513	379	1	[	[	X
ejpam-4513	379	2	3	3	X
ejpam-4513	379	3	]	]	X
ejpam-4513	379	4	zhou	zhou	PROPN
ejpam-4513	379	5	bo	bo	PROPN
ejpam-4513	379	6	and	and	CCONJ
ejpam-4513	379	7	trinajstić	trinajstić	ADJ
ejpam-4513	379	8	nenad	nenad	PROPN
ejpam-4513	379	9	.	.	PUNCT
ejpam-4513	380	1	on	on	ADP
ejpam-4513	380	2	general	general	ADJ
ejpam-4513	380	3	sum	sum	NOUN
ejpam-4513	380	4	-	-	PUNCT
ejpam-4513	380	5	connectivity	connectivity	NOUN
ejpam-4513	380	6	index	index	NOUN
ejpam-4513	380	7	.	.	PUNCT
ejpam-4513	381	1	journal	journal	PROPN
ejpam-4513	381	2	of	of	ADP
ejpam-4513	381	3	mathematical	mathematical	ADJ
ejpam-4513	381	4	chemistry	chemistry	NOUN
ejpam-4513	381	5	,	,	PUNCT
ejpam-4513	381	6	47:210–218	47:210–218	NUM
ejpam-4513	381	7	,	,	PUNCT
ejpam-4513	381	8	2010	2010	NUM
ejpam-4513	381	9	.	.	PUNCT
ejpam-4513	382	1	[	[	X
ejpam-4513	382	2	4	4	X
ejpam-4513	382	3	]	]	X
ejpam-4513	382	4	franka	franka	PROPN
ejpam-4513	382	5	miriam	miriam	PROPN
ejpam-4513	382	6	brückler	brückler	PROPN
ejpam-4513	382	7	,	,	PUNCT
ejpam-4513	382	8	tomislav	tomislav	PROPN
ejpam-4513	382	9	došlić	došlić	PROPN
ejpam-4513	382	10	,	,	PUNCT
ejpam-4513	382	11	ante	ante	NOUN
ejpam-4513	382	12	graovac	graovac	NOUN
ejpam-4513	382	13	,	,	PUNCT
ejpam-4513	382	14	and	and	CCONJ
ejpam-4513	382	15	ivan	ivan	PROPN
ejpam-4513	382	16	gutman	gutman	PROPN
ejpam-4513	382	17	.	.	PUNCT
ejpam-4513	383	1	on	on	ADP
ejpam-4513	383	2	a	a	DET
ejpam-4513	383	3	class	class	NOUN
ejpam-4513	383	4	of	of	ADP
ejpam-4513	383	5	distance	distance	NOUN
ejpam-4513	383	6	-	-	PUNCT
ejpam-4513	383	7	based	base	VERB
ejpam-4513	383	8	molecular	molecular	ADJ
ejpam-4513	383	9	structure	structure	NOUN
ejpam-4513	383	10	descriptors	descriptor	NOUN
ejpam-4513	383	11	.	.	PUNCT
ejpam-4513	384	1	chemical	chemical	NOUN
ejpam-4513	384	2	physics	physics	PROPN
ejpam-4513	384	3	letters	letter	NOUN
ejpam-4513	384	4	,	,	PUNCT
ejpam-4513	384	5	503(4	503(4	NUM
ejpam-4513	384	6	-	-	SYM
ejpam-4513	384	7	6):336–338	6):336–338	NUM
ejpam-4513	384	8	,	,	PUNCT
ejpam-4513	384	9	2011	2011	NUM
ejpam-4513	384	10	.	.	PUNCT
ejpam-4513	385	1	[	[	X
ejpam-4513	385	2	5	5	NUM
ejpam-4513	385	3	]	]	PUNCT
ejpam-4513	385	4	vukičević	vukičević	ADV
ejpam-4513	385	5	damir	damir	PROPN
ejpam-4513	385	6	.	.	PUNCT
ejpam-4513	386	1	bond	bond	NOUN
ejpam-4513	386	2	additive	additive	NOUN
ejpam-4513	386	3	modeling	model	VERB
ejpam-4513	386	4	2	2	NUM
ejpam-4513	386	5	.	.	PUNCT
ejpam-4513	386	6	mathematical	mathematical	ADJ
ejpam-4513	386	7	properties	property	NOUN
ejpam-4513	386	8	of	of	ADP
ejpam-4513	386	9	max	max	PROPN
ejpam-4513	386	10	-	-	PUNCT
ejpam-4513	386	11	min	min	PROPN
ejpam-4513	386	12	rodeg	rodeg	PROPN
ejpam-4513	386	13	index	index	NOUN
ejpam-4513	386	14	.	.	PUNCT
ejpam-4513	387	1	croatica	croatica	PROPN
ejpam-4513	387	2	chemica	chemica	PROPN
ejpam-4513	387	3	acta	acta	PROPN
ejpam-4513	387	4	,	,	PUNCT
ejpam-4513	387	5	83(3):261–273	83(3):261–273	PROPN
ejpam-4513	387	6	,	,	PUNCT
ejpam-4513	387	7	2010	2010	NUM
ejpam-4513	387	8	.	.	PUNCT
ejpam-4513	388	1	[	[	X
ejpam-4513	388	2	6	6	NUM
ejpam-4513	388	3	]	]	PUNCT
ejpam-4513	388	4	vukičević	vukičević	ADV
ejpam-4513	388	5	damir	damir	PROPN
ejpam-4513	388	6	and	and	CCONJ
ejpam-4513	388	7	furtula	furtula	PROPN
ejpam-4513	388	8	boris	boris	PROPN
ejpam-4513	388	9	.	.	PUNCT
ejpam-4513	389	1	topological	topological	ADJ
ejpam-4513	389	2	index	index	NOUN
ejpam-4513	389	3	based	base	VERB
ejpam-4513	389	4	on	on	ADP
ejpam-4513	389	5	the	the	DET
ejpam-4513	389	6	ratios	ratio	NOUN
ejpam-4513	389	7	of	of	ADP
ejpam-4513	389	8	geometrical	geometrical	ADJ
ejpam-4513	389	9	and	and	CCONJ
ejpam-4513	389	10	arithmetical	arithmetical	ADJ
ejpam-4513	389	11	means	mean	NOUN
ejpam-4513	389	12	of	of	ADP
ejpam-4513	389	13	end	end	NOUN
ejpam-4513	389	14	-	-	PUNCT
ejpam-4513	389	15	vertex	vertex	NOUN
ejpam-4513	389	16	degrees	degree	NOUN
ejpam-4513	389	17	of	of	ADP
ejpam-4513	389	18	edges	edge	NOUN
ejpam-4513	389	19	.	.	PUNCT
ejpam-4513	390	1	journal	journal	PROPN
ejpam-4513	390	2	of	of	ADP
ejpam-4513	390	3	mathematical	mathematical	ADJ
ejpam-4513	390	4	chemistry	chemistry	NOUN
ejpam-4513	390	5	,	,	PUNCT
ejpam-4513	390	6	46:1369–1376	46:1369–1376	PROPN
ejpam-4513	390	7	,	,	PUNCT
ejpam-4513	390	8	2009	2009	NUM
ejpam-4513	390	9	.	.	PUNCT
ejpam-4513	391	1	[	[	X
ejpam-4513	391	2	7	7	X
ejpam-4513	391	3	]	]	X
ejpam-4513	391	4	ernesto	ernesto	PROPN
ejpam-4513	391	5	estrada	estrada	PROPN
ejpam-4513	391	6	,	,	PUNCT
ejpam-4513	391	7	luis	luis	PROPN
ejpam-4513	391	8	torres	torres	PROPN
ejpam-4513	391	9	,	,	PUNCT
ejpam-4513	391	10	lissette	lissette	PROPN
ejpam-4513	391	11	rodriguez	rodriguez	NOUN
ejpam-4513	391	12	,	,	PUNCT
ejpam-4513	391	13	and	and	CCONJ
ejpam-4513	391	14	ivan	ivan	PROPN
ejpam-4513	391	15	gutman	gutman	PROPN
ejpam-4513	391	16	.	.	PUNCT
ejpam-4513	392	1	an	an	DET
ejpam-4513	392	2	atom	atom	NOUN
ejpam-4513	392	3	-	-	PUNCT
ejpam-4513	392	4	bond	bond	NOUN
ejpam-4513	392	5	connectivity	connectivity	NOUN
ejpam-4513	392	6	index	index	NOUN
ejpam-4513	392	7	:	:	PUNCT
ejpam-4513	392	8	modelling	model	VERB
ejpam-4513	392	9	the	the	DET
ejpam-4513	392	10	enthalpy	enthalpy	NOUN
ejpam-4513	392	11	of	of	ADP
ejpam-4513	392	12	formation	formation	NOUN
ejpam-4513	392	13	of	of	ADP
ejpam-4513	392	14	alkanes	alkane	NOUN
ejpam-4513	392	15	.	.	PUNCT
ejpam-4513	393	1	1998	1998	NUM
ejpam-4513	393	2	.	.	PUNCT
ejpam-4513	394	1	[	[	X
ejpam-4513	394	2	8	8	NUM
ejpam-4513	394	3	]	]	X
ejpam-4513	394	4	boris	boris	PROPN
ejpam-4513	394	5	furtula	furtula	PROPN
ejpam-4513	394	6	and	and	CCONJ
ejpam-4513	394	7	ivan	ivan	PROPN
ejpam-4513	394	8	gutman	gutman	PROPN
ejpam-4513	394	9	.	.	PUNCT
ejpam-4513	395	1	a	a	DET
ejpam-4513	395	2	forgotten	forget	VERB
ejpam-4513	395	3	topological	topological	ADJ
ejpam-4513	395	4	index	index	NOUN
ejpam-4513	395	5	.	.	PUNCT
ejpam-4513	396	1	journal	journal	PROPN
ejpam-4513	396	2	of	of	ADP
ejpam-4513	396	3	mathematical	mathematical	ADJ
ejpam-4513	396	4	chemistry	chemistry	NOUN
ejpam-4513	396	5	,	,	PUNCT
ejpam-4513	396	6	53(4):1184–1190	53(4):1184–1190	NUM
ejpam-4513	396	7	,	,	PUNCT
ejpam-4513	396	8	2015	2015	NUM
ejpam-4513	396	9	.	.	PUNCT
ejpam-4513	397	1	references	reference	NOUN
ejpam-4513	397	2	1108	1108	NUM
ejpam-4513	398	1	[	[	X
ejpam-4513	398	2	9	9	NUM
ejpam-4513	398	3	]	]	X
ejpam-4513	398	4	fath	fath	PROPN
ejpam-4513	398	5	-	-	PUNCT
ejpam-4513	398	6	tabar	tabar	PROPN
ejpam-4513	398	7	gh	gh	PROPN
ejpam-4513	398	8	.	.	PROPN
ejpam-4513	398	9	old	old	ADJ
ejpam-4513	398	10	and	and	CCONJ
ejpam-4513	398	11	new	new	ADJ
ejpam-4513	398	12	zagreb	zagreb	PROPN
ejpam-4513	398	13	indices	index	NOUN
ejpam-4513	398	14	of	of	ADP
ejpam-4513	398	15	graphs	graph	NOUN
ejpam-4513	398	16	.	.	PUNCT
ejpam-4513	399	1	match	match	PROPN
ejpam-4513	399	2	commun	commun	PROPN
ejpam-4513	399	3	.	.	PUNCT
ejpam-4513	399	4	math	math	PROPN
ejpam-4513	399	5	.	.	PUNCT
ejpam-4513	400	1	comput	comput	NOUN
ejpam-4513	400	2	.	.	PUNCT
ejpam-4513	401	1	chem	chem	PROPN
ejpam-4513	401	2	,	,	PUNCT
ejpam-4513	401	3	65(1):79–84	65(1):79–84	NOUN
ejpam-4513	401	4	,	,	PUNCT
ejpam-4513	401	5	2011	2011	NUM
ejpam-4513	401	6	.	.	PUNCT
ejpam-4513	402	1	[	[	X
ejpam-4513	402	2	10	10	NUM
ejpam-4513	402	3	]	]	X
ejpam-4513	402	4	gutman	gutman	PROPN
ejpam-4513	402	5	ivan	ivan	PROPN
ejpam-4513	402	6	.	.	PUNCT
ejpam-4513	402	7	degree	degree	NOUN
ejpam-4513	402	8	-	-	PUNCT
ejpam-4513	402	9	based	base	VERB
ejpam-4513	402	10	topological	topological	ADJ
ejpam-4513	402	11	indices	index	NOUN
ejpam-4513	402	12	.	.	PUNCT
ejpam-4513	403	1	croatica	croatica	PROPN
ejpam-4513	403	2	chemica	chemica	PROPN
ejpam-4513	403	3	acta	acta	PROPN
ejpam-4513	403	4	,	,	PUNCT
ejpam-4513	403	5	86(4):351	86(4):351	NUM
ejpam-4513	403	6	–	–	PUNCT
ejpam-4513	403	7	361	361	NUM
ejpam-4513	403	8	,	,	PUNCT
ejpam-4513	403	9	2013	2013	NUM
ejpam-4513	403	10	.	.	PUNCT
ejpam-4513	404	1	[	[	X
ejpam-4513	404	2	11	11	NUM
ejpam-4513	404	3	]	]	PUNCT
ejpam-4513	404	4	gutman	gutman	PROPN
ejpam-4513	404	5	ivan	ivan	PROPN
ejpam-4513	404	6	.	.	PUNCT
ejpam-4513	405	1	geometric	geometric	ADJ
ejpam-4513	405	2	approach	approach	NOUN
ejpam-4513	405	3	to	to	ADP
ejpam-4513	405	4	degree	degree	NOUN
ejpam-4513	405	5	-	-	PUNCT
ejpam-4513	405	6	based	base	VERB
ejpam-4513	405	7	topological	topological	ADJ
ejpam-4513	405	8	indices	index	NOUN
ejpam-4513	405	9	:	:	PUNCT
ejpam-4513	405	10	sombor	sombor	NOUN
ejpam-4513	405	11	indices	index	NOUN
ejpam-4513	405	12	.	.	PUNCT
ejpam-4513	406	1	match	match	PROPN
ejpam-4513	406	2	commun	commun	PROPN
ejpam-4513	406	3	.	.	PUNCT
ejpam-4513	406	4	math	math	PROPN
ejpam-4513	406	5	.	.	PUNCT
ejpam-4513	407	1	comput	comput	NOUN
ejpam-4513	407	2	.	.	PUNCT
ejpam-4513	408	1	chem	chem	PROPN
ejpam-4513	408	2	,	,	PUNCT
ejpam-4513	408	3	86(1):11–16	86(1):11–16	NUM
ejpam-4513	408	4	,	,	PUNCT
ejpam-4513	408	5	2021	2021	NUM
ejpam-4513	408	6	.	.	PUNCT
ejpam-4513	409	1	[	[	X
ejpam-4513	409	2	12	12	NUM
ejpam-4513	409	3	]	]	X
ejpam-4513	409	4	gutman	gutman	PROPN
ejpam-4513	409	5	ivan	ivan	PROPN
ejpam-4513	409	6	and	and	CCONJ
ejpam-4513	409	7	das	das	PROPN
ejpam-4513	409	8	kinkar	kinkar	PROPN
ejpam-4513	409	9	ch	ch	PROPN
ejpam-4513	409	10	.	.	PUNCT
ejpam-4513	410	1	the	the	DET
ejpam-4513	410	2	first	first	PROPN
ejpam-4513	410	3	zagreb	zagreb	PROPN
ejpam-4513	410	4	index	index	NOUN
ejpam-4513	410	5	30	30	NUM
ejpam-4513	410	6	years	year	NOUN
ejpam-4513	410	7	after	after	ADP
ejpam-4513	410	8	.	.	PUNCT
ejpam-4513	410	9	match	match	PROPN
ejpam-4513	410	10	commun	commun	PROPN
ejpam-4513	410	11	.	.	PUNCT
ejpam-4513	410	12	math	math	PROPN
ejpam-4513	410	13	.	.	PUNCT
ejpam-4513	411	1	comput	comput	NOUN
ejpam-4513	411	2	.	.	PUNCT
ejpam-4513	412	1	chem	chem	PROPN
ejpam-4513	412	2	,	,	PUNCT
ejpam-4513	412	3	50(1):83–92	50(1):83–92	NUM
ejpam-4513	412	4	,	,	PUNCT
ejpam-4513	412	5	2004	2004	NUM
ejpam-4513	412	6	.	.	PUNCT
ejpam-4513	413	1	[	[	X
ejpam-4513	413	2	13	13	NUM
ejpam-4513	413	3	]	]	X
ejpam-4513	413	4	klein	klein	PROPN
ejpam-4513	413	5	douglas	douglas	PROPN
ejpam-4513	413	6	j.	j.	PROPN
ejpam-4513	413	7	topological	topological	PROPN
ejpam-4513	413	8	indices	index	NOUN
ejpam-4513	413	9	and	and	CCONJ
ejpam-4513	413	10	related	related	ADJ
ejpam-4513	413	11	descriptors	descriptor	NOUN
ejpam-4513	413	12	in	in	ADP
ejpam-4513	413	13	qsar	qsar	NOUN
ejpam-4513	413	14	and	and	CCONJ
ejpam-4513	413	15	qspr	qspr	NOUN
ejpam-4513	413	16	,	,	PUNCT
ejpam-4513	413	17	edited	edit	VERB
ejpam-4513	413	18	by	by	ADP
ejpam-4513	413	19	james	james	PROPN
ejpam-4513	413	20	devillers	devillers	PROPN
ejpam-4513	413	21	and	and	CCONJ
ejpam-4513	413	22	alexandru	alexandru	PROPN
ejpam-4513	413	23	t.	t.	PROPN
ejpam-4513	413	24	balaban	balaban	PROPN
ejpam-4513	413	25	.	.	PUNCT
ejpam-4513	414	1	gordon	gordon	PROPN
ejpam-4513	414	2	and	and	CCONJ
ejpam-4513	414	3	breach	breach	VERB
ejpam-4513	414	4	science	science	NOUN
ejpam-4513	414	5	publishers	publisher	NOUN
ejpam-4513	414	6	:	:	PUNCT
ejpam-4513	414	7	singapore	singapore	PROPN
ejpam-4513	414	8	.	.	PUNCT
ejpam-4513	414	9	1999	1999	NUM
ejpam-4513	414	10	.	.	PUNCT
ejpam-4513	415	1	journal	journal	PROPN
ejpam-4513	415	2	of	of	ADP
ejpam-4513	415	3	chemical	chemical	ADJ
ejpam-4513	415	4	information	information	NOUN
ejpam-4513	415	5	and	and	CCONJ
ejpam-4513	415	6	computer	computer	NOUN
ejpam-4513	415	7	sciences	science	NOUN
ejpam-4513	415	8	,	,	PUNCT
ejpam-4513	415	9	42(6):1507–1507	42(6):1507–1507	NOUN
ejpam-4513	415	10	,	,	PUNCT
ejpam-4513	415	11	2002	2002	NUM
ejpam-4513	415	12	.	.	PUNCT
ejpam-4513	416	1	[	[	X
ejpam-4513	416	2	14	14	NUM
ejpam-4513	416	3	]	]	X
ejpam-4513	416	4	zhong	zhong	PROPN
ejpam-4513	416	5	lingping	lingpe	VERB
ejpam-4513	416	6	.	.	PUNCT
ejpam-4513	417	1	the	the	DET
ejpam-4513	417	2	harmonic	harmonic	ADJ
ejpam-4513	417	3	index	index	NOUN
ejpam-4513	417	4	for	for	ADP
ejpam-4513	417	5	graphs	graph	NOUN
ejpam-4513	417	6	.	.	PUNCT
ejpam-4513	418	1	applied	apply	VERB
ejpam-4513	418	2	mathematics	mathematics	NOUN
ejpam-4513	418	3	letters	letter	NOUN
ejpam-4513	418	4	,	,	PUNCT
ejpam-4513	418	5	25(3):561–566	25(3):561–566	NUM
ejpam-4513	418	6	,	,	PUNCT
ejpam-4513	418	7	2012	2012	NUM
ejpam-4513	418	8	.	.	PUNCT
ejpam-4513	419	1	[	[	X
ejpam-4513	419	2	15	15	NUM
ejpam-4513	419	3	]	]	X
ejpam-4513	419	4	manjunath	manjunath	PROPN
ejpam-4513	419	5	m	m	PROPN
ejpam-4513	419	6	and	and	CCONJ
ejpam-4513	419	7	lokesha	lokesha	PROPN
ejpam-4513	419	8	v.	v.	ADP
ejpam-4513	419	9	s	s	NOUN
ejpam-4513	419	10	-	-	PUNCT
ejpam-4513	419	11	corona	corona	NOUN
ejpam-4513	419	12	operations	operation	NOUN
ejpam-4513	419	13	of	of	ADP
ejpam-4513	419	14	standard	standard	ADJ
ejpam-4513	419	15	graphs	graph	NOUN
ejpam-4513	419	16	in	in	ADP
ejpam-4513	419	17	terms	term	NOUN
ejpam-4513	419	18	of	of	ADP
ejpam-4513	419	19	degree	degree	NOUN
ejpam-4513	419	20	sequences	sequence	NOUN
ejpam-4513	419	21	.	.	PUNCT
ejpam-4513	420	1	in	in	ADP
ejpam-4513	420	2	proceedings	proceeding	NOUN
ejpam-4513	420	3	of	of	ADP
ejpam-4513	420	4	the	the	DET
ejpam-4513	420	5	jangjeon	jangjeon	PROPN
ejpam-4513	420	6	mathematical	mathematical	PROPN
ejpam-4513	420	7	society	society	NOUN
ejpam-4513	420	8	,	,	PUNCT
ejpam-4513	420	9	volume	volume	NOUN
ejpam-4513	420	10	23	23	NUM
ejpam-4513	420	11	,	,	PUNCT
ejpam-4513	420	12	pages	page	NOUN
ejpam-4513	420	13	149–158	149–158	NUM
ejpam-4513	420	14	,	,	PUNCT
ejpam-4513	420	15	2020	2020	NUM
ejpam-4513	420	16	.	.	PUNCT
ejpam-4513	421	1	[	[	X
ejpam-4513	421	2	16	16	NUM
ejpam-4513	421	3	]	]	X
ejpam-4513	421	4	randic	randic	ADJ
ejpam-4513	421	5	m.	m.	NOUN
ejpam-4513	421	6	quantitative	quantitative	ADJ
ejpam-4513	421	7	structure	structure	NOUN
ejpam-4513	421	8	-	-	PUNCT
ejpam-4513	421	9	property	property	NOUN
ejpam-4513	421	10	relationship	relationship	NOUN
ejpam-4513	421	11	.	.	PUNCT
ejpam-4513	422	1	boiling	boiling	NOUN
ejpam-4513	422	2	points	point	NOUN
ejpam-4513	422	3	of	of	ADP
ejpam-4513	422	4	planar	planar	ADJ
ejpam-4513	422	5	benzenoids	benzenoid	NOUN
ejpam-4513	422	6	.	.	PUNCT
ejpam-4513	423	1	new	new	ADJ
ejpam-4513	423	2	journal	journal	NOUN
ejpam-4513	423	3	of	of	ADP
ejpam-4513	423	4	chemistry	chemistry	NOUN
ejpam-4513	423	5	,	,	PUNCT
ejpam-4513	423	6	20(10):1001–1009	20(10):1001–1009	NUM
ejpam-4513	423	7	,	,	PUNCT
ejpam-4513	423	8	1996	1996	NUM
ejpam-4513	423	9	.	.	PUNCT
ejpam-4513	424	1	[	[	X
ejpam-4513	424	2	17	17	NUM
ejpam-4513	424	3	]	]	PUNCT
ejpam-4513	424	4	ascioglu	ascioglu	NOUN
ejpam-4513	424	5	merve	merve	NOUN
ejpam-4513	424	6	and	and	CCONJ
ejpam-4513	424	7	cangul	cangul	PROPN
ejpam-4513	424	8	ismail	ismail	PROPN
ejpam-4513	424	9	naci	naci	PROPN
ejpam-4513	424	10	.	.	PROPN
ejpam-4513	425	1	sigma	sigma	PROPN
ejpam-4513	425	2	index	index	NOUN
ejpam-4513	425	3	and	and	CCONJ
ejpam-4513	425	4	forgotten	forget	VERB
ejpam-4513	425	5	index	index	NOUN
ejpam-4513	425	6	of	of	ADP
ejpam-4513	425	7	the	the	DET
ejpam-4513	425	8	subdivision	subdivision	NOUN
ejpam-4513	425	9	and	and	CCONJ
ejpam-4513	425	10	r	r	NOUN
ejpam-4513	425	11	-	-	PUNCT
ejpam-4513	425	12	subdivision	subdivision	NOUN
ejpam-4513	425	13	graphs	graph	NOUN
ejpam-4513	425	14	.	.	PUNCT
ejpam-4513	426	1	in	in	ADP
ejpam-4513	426	2	proceedings	proceeding	NOUN
ejpam-4513	426	3	of	of	ADP
ejpam-4513	426	4	the	the	DET
ejpam-4513	426	5	jangjeon	jangjeon	PROPN
ejpam-4513	426	6	mathematical	mathematical	PROPN
ejpam-4513	426	7	society	society	NOUN
ejpam-4513	426	8	,	,	PUNCT
ejpam-4513	426	9	volume	volume	NOUN
ejpam-4513	426	10	21	21	NUM
ejpam-4513	426	11	,	,	PUNCT
ejpam-4513	426	12	pages	page	NOUN
ejpam-4513	426	13	375–383	375–383	NUM
ejpam-4513	426	14	,	,	PUNCT
ejpam-4513	426	15	2018	2018	NUM
ejpam-4513	426	16	.	.	PUNCT
ejpam-4513	427	1	[	[	X
ejpam-4513	427	2	18	18	NUM
ejpam-4513	427	3	]	]	PUNCT
ejpam-4513	427	4	randic	randic	PROPN
ejpam-4513	427	5	milan	milan	PROPN
ejpam-4513	427	6	.	.	PUNCT
ejpam-4513	428	1	characterization	characterization	NOUN
ejpam-4513	428	2	of	of	ADP
ejpam-4513	428	3	molecular	molecular	ADJ
ejpam-4513	428	4	branching	branching	NOUN
ejpam-4513	428	5	.	.	PUNCT
ejpam-4513	429	1	journal	journal	NOUN
ejpam-4513	429	2	of	of	ADP
ejpam-4513	429	3	the	the	DET
ejpam-4513	429	4	american	american	PROPN
ejpam-4513	429	5	chemical	chemical	PROPN
ejpam-4513	429	6	society	society	PROPN
ejpam-4513	429	7	,	,	PUNCT
ejpam-4513	429	8	97(23):6609–6615	97(23):6609–6615	NUM
ejpam-4513	429	9	,	,	PUNCT
ejpam-4513	429	10	1975	1975	NUM
ejpam-4513	429	11	.	.	PUNCT
ejpam-4513	430	1	[	[	X
ejpam-4513	430	2	19	19	NUM
ejpam-4513	430	3	]	]	PUNCT
ejpam-4513	430	4	ante	ante	NOUN
ejpam-4513	430	5	miličević	miličević	PROPN
ejpam-4513	430	6	,	,	PUNCT
ejpam-4513	430	7	sonja	sonja	PROPN
ejpam-4513	430	8	nikolić	nikolić	PROPN
ejpam-4513	430	9	,	,	PUNCT
ejpam-4513	430	10	and	and	CCONJ
ejpam-4513	430	11	nenad	nenad	PROPN
ejpam-4513	430	12	trinajstić.	trinajstić.	PROPN
ejpam-4513	430	13	on	on	ADP
ejpam-4513	430	14	reformulated	reformulate	VERB
ejpam-4513	430	15	zagreb	zagreb	PROPN
ejpam-4513	430	16	indices	index	NOUN
ejpam-4513	430	17	.	.	PUNCT
ejpam-4513	431	1	molecular	molecular	ADJ
ejpam-4513	431	2	diversity	diversity	NOUN
ejpam-4513	431	3	,	,	PUNCT
ejpam-4513	431	4	8:393–399	8:393–399	NUM
ejpam-4513	431	5	,	,	PUNCT
ejpam-4513	431	6	2004	2004	NUM
ejpam-4513	431	7	.	.	PUNCT
ejpam-4513	432	1	[	[	X
ejpam-4513	432	2	20	20	NUM
ejpam-4513	432	3	]	]	PUNCT
ejpam-4513	432	4	manjunath	manjunath	PROPN
ejpam-4513	432	5	muddalapuram	muddalapuram	PROPN
ejpam-4513	432	6	,	,	PUNCT
ejpam-4513	432	7	lokesha	lokesha	PROPN
ejpam-4513	432	8	v	v	PROPN
ejpam-4513	432	9	,	,	PUNCT
ejpam-4513	432	10	jain	jain	PROPN
ejpam-4513	432	11	sushmitha	sushmitha	PROPN
ejpam-4513	432	12	,	,	PUNCT
ejpam-4513	432	13	et	et	PROPN
ejpam-4513	432	14	al	al	PROPN
ejpam-4513	432	15	.	.	PROPN
ejpam-4513	432	16	bounds	bound	VERB
ejpam-4513	432	17	for	for	ADP
ejpam-4513	432	18	the	the	DET
ejpam-4513	432	19	topological	topological	ADJ
ejpam-4513	432	20	indices	index	NOUN
ejpam-4513	432	21	of	of	ADP
ejpam-4513	432	22	a	a	DET
ejpam-4513	432	23	graph	graph	NOUN
ejpam-4513	432	24	.	.	PUNCT
ejpam-4513	433	1	european	european	ADJ
ejpam-4513	433	2	journal	journal	PROPN
ejpam-4513	433	3	of	of	ADP
ejpam-4513	433	4	pure	pure	ADJ
ejpam-4513	433	5	and	and	CCONJ
ejpam-4513	433	6	applied	applied	ADJ
ejpam-4513	433	7	mathematics	mathematic	NOUN
ejpam-4513	433	8	,	,	PUNCT
ejpam-4513	433	9	14(2):340–350	14(2):340–350	PROPN
ejpam-4513	433	10	,	,	PUNCT
ejpam-4513	433	11	2021	2021	NUM
ejpam-4513	433	12	.	.	PUNCT
ejpam-4513	434	1	[	[	X
ejpam-4513	434	2	21	21	NUM
ejpam-4513	434	3	]	]	X
ejpam-4513	434	4	de	de	X
ejpam-4513	434	5	nilanjan	nilanjan	NOUN
ejpam-4513	434	6	.	.	PUNCT
ejpam-4513	435	1	computing	compute	VERB
ejpam-4513	435	2	f	f	PROPN
ejpam-4513	435	3	-	-	PUNCT
ejpam-4513	435	4	index	index	NOUN
ejpam-4513	435	5	of	of	ADP
ejpam-4513	435	6	different	different	ADJ
ejpam-4513	435	7	corona	corona	NOUN
ejpam-4513	435	8	products	product	NOUN
ejpam-4513	435	9	of	of	ADP
ejpam-4513	435	10	graphs	graph	NOUN
ejpam-4513	435	11	.	.	PUNCT
ejpam-4513	436	1	bulletin	bulletin	NOUN
ejpam-4513	436	2	of	of	ADP
ejpam-4513	436	3	mathematical	mathematical	ADJ
ejpam-4513	436	4	sciences	science	NOUN
ejpam-4513	436	5	and	and	CCONJ
ejpam-4513	436	6	applications	application	NOUN
ejpam-4513	436	7	vol	vol	NOUN
ejpam-4513	436	8	,	,	PUNCT
ejpam-4513	436	9	19:25	19:25	NUM
ejpam-4513	436	10	,	,	PUNCT
ejpam-4513	436	11	2017	2017	NUM
ejpam-4513	436	12	.	.	PUNCT
ejpam-4513	437	1	[	[	X
ejpam-4513	437	2	22	22	NUM
ejpam-4513	437	3	]	]	X
ejpam-4513	437	4	sheeja	sheeja	ADJ
ejpam-4513	437	5	pg	pg	NOUN
ejpam-4513	437	6	,	,	PUNCT
ejpam-4513	437	7	ranjini	ranjini	PROPN
ejpam-4513	437	8	ps	ps	PROPN
ejpam-4513	437	9	,	,	PUNCT
ejpam-4513	437	10	lokesha	lokesha	NOUN
ejpam-4513	437	11	v	v	NOUN
ejpam-4513	437	12	,	,	PUNCT
ejpam-4513	437	13	and	and	CCONJ
ejpam-4513	437	14	cevik	cevik	VERB
ejpam-4513	437	15	a	a	DET
ejpam-4513	437	16	sinan	sinan	PROPN
ejpam-4513	437	17	.	.	PUNCT
ejpam-4513	438	1	computation	computation	NOUN
ejpam-4513	438	2	of	of	ADP
ejpam-4513	438	3	the	the	DET
ejpam-4513	438	4	sk	sk	ADJ
ejpam-4513	438	5	index	index	NOUN
ejpam-4513	438	6	over	over	ADP
ejpam-4513	438	7	different	different	ADJ
ejpam-4513	438	8	corona	corona	NOUN
ejpam-4513	438	9	products	product	NOUN
ejpam-4513	438	10	of	of	ADP
ejpam-4513	438	11	graphs	graph	NOUN
ejpam-4513	438	12	.	.	PUNCT
ejpam-4513	439	1	palestine	palestine	PROPN
ejpam-4513	439	2	journal	journal	PROPN
ejpam-4513	439	3	of	of	ADP
ejpam-4513	439	4	mathematics	mathematic	NOUN
ejpam-4513	439	5	,	,	PUNCT
ejpam-4513	439	6	10(1	10(1	NUM
ejpam-4513	439	7	)	)	PUNCT
ejpam-4513	439	8	,	,	PUNCT
ejpam-4513	439	9	2021	2021	NUM
ejpam-4513	439	10	.	.	PUNCT
ejpam-4513	440	1	references	reference	NOUN
ejpam-4513	440	2	1109	1109	NUM
ejpam-4513	440	3	[	[	X
ejpam-4513	440	4	23	23	NUM
ejpam-4513	440	5	]	]	X
ejpam-4513	440	6	gh	gh	PROPN
ejpam-4513	440	7	shirdel	shirdel	PROPN
ejpam-4513	440	8	,	,	PUNCT
ejpam-4513	440	9	h	h	NOUN
ejpam-4513	440	10	rezapour	rezapour	NOUN
ejpam-4513	440	11	,	,	PUNCT
ejpam-4513	440	12	and	and	CCONJ
ejpam-4513	440	13	am	be	AUX
ejpam-4513	440	14	sayadi	sayadi	NOUN
ejpam-4513	440	15	.	.	PUNCT
ejpam-4513	441	1	the	the	DET
ejpam-4513	441	2	hyper	hyper	PROPN
ejpam-4513	441	3	-	-	PROPN
ejpam-4513	441	4	zagreb	zagreb	PROPN
ejpam-4513	441	5	index	index	NOUN
ejpam-4513	441	6	of	of	ADP
ejpam-4513	441	7	graph	graph	NOUN
ejpam-4513	441	8	operations	operation	NOUN
ejpam-4513	441	9	.	.	PUNCT
ejpam-4513	442	1	2013	2013	NUM
ejpam-4513	442	2	.	.	PUNCT
ejpam-4513	443	1	[	[	X
ejpam-4513	443	2	24	24	NUM
ejpam-4513	443	3	]	]	PUNCT
ejpam-4513	443	4	hosamani	hosamani	PROPN
ejpam-4513	443	5	sunilkumar	sunilkumar	PROPN
ejpam-4513	443	6	,	,	PUNCT
ejpam-4513	443	7	perigidad	perigidad	PROPN
ejpam-4513	443	8	deepa	deepa	PROPN
ejpam-4513	443	9	,	,	PUNCT
ejpam-4513	443	10	jamagoud	jamagoud	PROPN
ejpam-4513	443	11	shruti	shruti	PROPN
ejpam-4513	443	12	,	,	PUNCT
ejpam-4513	443	13	maled	male	VERB
ejpam-4513	443	14	yallavva	yallavva	NOUN
ejpam-4513	443	15	,	,	PUNCT
ejpam-4513	443	16	and	and	CCONJ
ejpam-4513	443	17	gavade	gavade	VERB
ejpam-4513	443	18	sharada	sharada	PROPN
ejpam-4513	443	19	.	.	PUNCT
ejpam-4513	444	1	qspr	qspr	NOUN
ejpam-4513	444	2	analysis	analysis	NOUN
ejpam-4513	444	3	of	of	ADP
ejpam-4513	444	4	certain	certain	ADJ
ejpam-4513	444	5	degree	degree	NOUN
ejpam-4513	444	6	based	base	VERB
ejpam-4513	444	7	topological	topological	ADJ
ejpam-4513	444	8	indices	index	NOUN
ejpam-4513	444	9	.	.	PUNCT
ejpam-4513	445	1	journal	journal	PROPN
ejpam-4513	445	2	of	of	ADP
ejpam-4513	445	3	statistics	statistics	PROPN
ejpam-4513	445	4	applications	application	NOUN
ejpam-4513	445	5	&	&	CCONJ
ejpam-4513	445	6	probability	probability	NOUN
ejpam-4513	445	7	,	,	PUNCT
ejpam-4513	445	8	6(2):361–371	6(2):361–371	NUM
ejpam-4513	445	9	,	,	PUNCT
ejpam-4513	445	10	2017	2017	NUM
ejpam-4513	445	11	.	.	PUNCT
ejpam-4513	446	1	[	[	X
ejpam-4513	446	2	25	25	NUM
ejpam-4513	446	3	]	]	PUNCT
ejpam-4513	446	4	lokesha	lokesha	PROPN
ejpam-4513	446	5	v	v	PROPN
ejpam-4513	446	6	,	,	PUNCT
ejpam-4513	446	7	shruti	shruti	PROPN
ejpam-4513	446	8	r	r	PROPN
ejpam-4513	446	9	,	,	PUNCT
ejpam-4513	446	10	sinan	sinan	PROPN
ejpam-4513	446	11	cevik	cevik	PROPN
ejpam-4513	446	12	a	a	PROPN
ejpam-4513	446	13	,	,	PUNCT
ejpam-4513	446	14	et	et	PROPN
ejpam-4513	446	15	al	al	PROPN
ejpam-4513	446	16	.	.	PROPN
ejpam-4513	447	1	on	on	ADP
ejpam-4513	447	2	certain	certain	ADJ
ejpam-4513	447	3	topological	topological	ADJ
ejpam-4513	447	4	indices	index	NOUN
ejpam-4513	447	5	of	of	ADP
ejpam-4513	447	6	nanostructures	nanostructure	NOUN
ejpam-4513	447	7	usingq	usingq	VERB
ejpam-4513	447	8	(	(	PUNCT
ejpam-4513	447	9	g	g	NOUN
ejpam-4513	447	10	)	)	PUNCT
ejpam-4513	447	11	and	and	CCONJ
ejpam-4513	447	12	r	r	NOUN
ejpam-4513	447	13	(	(	PUNCT
ejpam-4513	447	14	g	g	NOUN
ejpam-4513	447	15	)	)	PUNCT
ejpam-4513	447	16	operators	operator	NOUN
ejpam-4513	447	17	.	.	PUNCT
ejpam-4513	448	1	communications	communication	NOUN
ejpam-4513	448	2	faculty	faculty	NOUN
ejpam-4513	448	3	of	of	ADP
ejpam-4513	448	4	sciences	sciences	PROPN
ejpam-4513	448	5	university	university	PROPN
ejpam-4513	448	6	of	of	ADP
ejpam-4513	448	7	ankara	ankara	PROPN
ejpam-4513	448	8	series	series	PROPN
ejpam-4513	448	9	a1	a1	PROPN
ejpam-4513	448	10	mathematics	mathematic	NOUN
ejpam-4513	448	11	and	and	CCONJ
ejpam-4513	448	12	statistics	statistic	NOUN
ejpam-4513	448	13	,	,	PUNCT
ejpam-4513	448	14	67(2):178–187	67(2):178–187	PROPN
ejpam-4513	448	15	,	,	PUNCT
ejpam-4513	448	16	2018	2018	NUM
ejpam-4513	448	17	.	.	PUNCT
ejpam-4513	449	1	[	[	X
ejpam-4513	449	2	26	26	NUM
ejpam-4513	449	3	]	]	PUNCT
ejpam-4513	449	4	lokesha	lokesha	PROPN
ejpam-4513	449	5	v	v	PROPN
ejpam-4513	449	6	,	,	PUNCT
ejpam-4513	449	7	shetty	shetty	PROPN
ejpam-4513	449	8	b	b	PROPN
ejpam-4513	449	9	shwetha	shwetha	NOUN
ejpam-4513	449	10	,	,	PUNCT
ejpam-4513	449	11	ranjini	ranjini	NOUN
ejpam-4513	449	12	ps	ps	PROPN
ejpam-4513	449	13	,	,	PUNCT
ejpam-4513	449	14	cangul	cangul	PROPN
ejpam-4513	449	15	ismail	ismail	PROPN
ejpam-4513	449	16	naci	naci	PROPN
ejpam-4513	449	17	,	,	PUNCT
ejpam-4513	449	18	and	and	CCONJ
ejpam-4513	449	19	cevik	cevik	PROPN
ejpam-4513	449	20	ahmet	ahmet	PROPN
ejpam-4513	449	21	sinan	sinan	PROPN
ejpam-4513	449	22	.	.	PUNCT
ejpam-4513	450	1	new	new	ADJ
ejpam-4513	450	2	bounds	bound	NOUN
ejpam-4513	450	3	for	for	ADP
ejpam-4513	450	4	randic	randic	ADJ
ejpam-4513	450	5	and	and	CCONJ
ejpam-4513	450	6	ga	ga	NOUN
ejpam-4513	450	7	indices	index	NOUN
ejpam-4513	450	8	.	.	PUNCT
ejpam-4513	451	1	journal	journal	NOUN
ejpam-4513	451	2	of	of	ADP
ejpam-4513	451	3	inequalities	inequality	NOUN
ejpam-4513	451	4	and	and	CCONJ
ejpam-4513	451	5	applications	application	NOUN
ejpam-4513	451	6	,	,	PUNCT
ejpam-4513	451	7	2013(1):1–7	2013(1):1–7	NUM
ejpam-4513	451	8	,	,	PUNCT
ejpam-4513	451	9	2013	2013	NUM
ejpam-4513	451	10	.	.	PUNCT
ejpam-4513	452	1	[	[	X
ejpam-4513	452	2	27	27	NUM
ejpam-4513	452	3	]	]	X
ejpam-4513	452	4	lokesha	lokesha	PROPN
ejpam-4513	452	5	v	v	PROPN
ejpam-4513	452	6	,	,	PUNCT
ejpam-4513	452	7	jain	jain	PROPN
ejpam-4513	452	8	sushmitha	sushmitha	PROPN
ejpam-4513	452	9	,	,	PUNCT
ejpam-4513	452	10	deepika	deepika	PROPN
ejpam-4513	452	11	t	t	PROPN
ejpam-4513	452	12	,	,	PUNCT
ejpam-4513	452	13	and	and	CCONJ
ejpam-4513	452	14	cevik	cevik	VERB
ejpam-4513	452	15	a	a	DET
ejpam-4513	452	16	sinan	sinan	PROPN
ejpam-4513	452	17	.	.	PUNCT
ejpam-4513	453	1	operations	operation	NOUN
ejpam-4513	453	2	on	on	ADP
ejpam-4513	453	3	dutch	dutch	ADJ
ejpam-4513	453	4	vvindmill	vvindmill	NOUN
ejpam-4513	453	5	graph	graph	NOUN
ejpam-4513	453	6	of	of	ADP
ejpam-4513	453	7	topological	topological	ADJ
ejpam-4513	453	8	indices	index	NOUN
ejpam-4513	453	9	.	.	PUNCT
ejpam-4513	454	1	2018	2018	NUM
ejpam-4513	454	2	.	.	PUNCT
ejpam-4513	455	1	[	[	X
ejpam-4513	455	2	28	28	NUM
ejpam-4513	455	3	]	]	X
ejpam-4513	455	4	lokesha	lokesha	NOUN
ejpam-4513	455	5	veerebradiah	veerebradiah	NOUN
ejpam-4513	455	6	and	and	CCONJ
ejpam-4513	455	7	yasmeen	yasmeen	PROPN
ejpam-4513	455	8	k	k	PROPN
ejpam-4513	455	9	zeba	zeba	PROPN
ejpam-4513	455	10	.	.	PUNCT
ejpam-4513	456	1	sk	sk	PROPN
ejpam-4513	456	2	indices	index	NOUN
ejpam-4513	456	3	,	,	PUNCT
ejpam-4513	456	4	forgotten	forget	VERB
ejpam-4513	456	5	topological	topological	ADJ
ejpam-4513	456	6	indices	index	NOUN
ejpam-4513	456	7	and	and	CCONJ
ejpam-4513	456	8	hyper	hyper	PROPN
ejpam-4513	456	9	zagreb	zagreb	PROPN
ejpam-4513	456	10	index	index	NOUN
ejpam-4513	456	11	of	of	ADP
ejpam-4513	456	12	q	q	NOUN
ejpam-4513	456	13	operator	operator	NOUN
ejpam-4513	456	14	of	of	ADP
ejpam-4513	456	15	carbon	carbon	NOUN
ejpam-4513	456	16	nanocone	nanocone	NOUN
ejpam-4513	456	17	.	.	PUNCT
ejpam-4513	457	1	twms	twms	PROPN
ejpam-4513	457	2	journal	journal	PROPN
ejpam-4513	457	3	of	of	ADP
ejpam-4513	457	4	applied	apply	VERB
ejpam-4513	457	5	and	and	CCONJ
ejpam-4513	457	6	engineering	engineering	NOUN
ejpam-4513	457	7	mathematics	mathematic	NOUN
ejpam-4513	457	8	,	,	PUNCT
ejpam-4513	457	9	9(3):675–680	9(3):675–680	PRON
ejpam-4513	457	10	,	,	PUNCT
ejpam-4513	457	11	2019	2019	NUM
ejpam-4513	457	12	.	.	PUNCT
ejpam-4513	458	1	[	[	X
ejpam-4513	458	2	29	29	NUM
ejpam-4513	458	3	]	]	X
ejpam-4513	458	4	kulli	kulli	PROPN
ejpam-4513	458	5	vr	vr	PROPN
ejpam-4513	458	6	.	.	PROPN
ejpam-4513	459	1	the	the	DET
ejpam-4513	459	2	gourava	gourava	NOUN
ejpam-4513	459	3	indices	index	NOUN
ejpam-4513	459	4	and	and	CCONJ
ejpam-4513	459	5	coindices	coindice	NOUN
ejpam-4513	459	6	of	of	ADP
ejpam-4513	459	7	graphs	graph	NOUN
ejpam-4513	459	8	.	.	PUNCT
ejpam-4513	460	1	annals	annal	NOUN
ejpam-4513	460	2	of	of	ADP
ejpam-4513	460	3	pure	pure	ADJ
ejpam-4513	460	4	and	and	CCONJ
ejpam-4513	460	5	applied	applied	ADJ
ejpam-4513	460	6	mathematics	mathematic	NOUN
ejpam-4513	460	7	,	,	PUNCT
ejpam-4513	460	8	14(1):33–38	14(1):33–38	NUM
ejpam-4513	460	9	,	,	PUNCT
ejpam-4513	460	10	2017	2017	NUM
ejpam-4513	460	11	.	.	PUNCT
ejpam-4513	461	1	[	[	X
ejpam-4513	461	2	30	30	NUM
ejpam-4513	461	3	]	]	X
ejpam-4513	461	4	kulli	kulli	PROPN
ejpam-4513	461	5	vr	vr	PROPN
ejpam-4513	461	6	.	.	PROPN
ejpam-4513	461	7	degree	degree	NOUN
ejpam-4513	461	8	based	base	VERB
ejpam-4513	461	9	connectivity	connectivity	NOUN
ejpam-4513	461	10	f	f	NOUN
ejpam-4513	461	11	-	-	PUNCT
ejpam-4513	461	12	indices	index	NOUN
ejpam-4513	461	13	of	of	ADP
ejpam-4513	461	14	nanotubes	nanotube	NOUN
ejpam-4513	461	15	.	.	PUNCT
ejpam-4513	462	1	annals	annal	NOUN
ejpam-4513	462	2	of	of	ADP
ejpam-4513	462	3	pure	pure	ADJ
ejpam-4513	462	4	and	and	CCONJ
ejpam-4513	462	5	applied	applied	ADJ
ejpam-4513	462	6	mathematics	mathematic	NOUN
ejpam-4513	462	7	,	,	PUNCT
ejpam-4513	462	8	18(2):201–206	18(2):201–206	NUM
ejpam-4513	462	9	,	,	PUNCT
ejpam-4513	462	10	2018	2018	NUM
ejpam-4513	462	11	.	.	PUNCT
ejpam-4513	463	1	[	[	X
ejpam-4513	463	2	31	31	NUM
ejpam-4513	463	3	]	]	X
ejpam-4513	463	4	kulli	kulli	PROPN
ejpam-4513	463	5	vr	vr	PROPN
ejpam-4513	463	6	.	.	PROPN
ejpam-4513	463	7	nirmala	nirmala	PROPN
ejpam-4513	463	8	index	index	PROPN
ejpam-4513	463	9	.	.	PUNCT
ejpam-4513	464	1	international	international	ADJ
ejpam-4513	464	2	journal	journal	PROPN
ejpam-4513	464	3	of	of	ADP
ejpam-4513	464	4	mathematics	mathematics	NOUN
ejpam-4513	464	5	trends	trend	NOUN
ejpam-4513	464	6	and	and	CCONJ
ejpam-4513	464	7	technology	technology	NOUN
ejpam-4513	464	8	,	,	PUNCT
ejpam-4513	464	9	67(3):8–12	67(3):8–12	ADJ
ejpam-4513	464	10	,	,	PUNCT
ejpam-4513	464	11	2021	2021	NUM
ejpam-4513	464	12	.	.	PUNCT